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Finding the Fourth Proportional to 3,144.60, 4,716.89 and 836.10

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Solution

The fourth proportional to 3,144.60, 4,716.89 and 836.10 is: 1,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.60 : 4,716.89 = 836.10 : x
  2. Step 2: Convert to fraction form
    3,144.60/4,716.89 = 836.10/x
  3. Step 3: Cross multiply
    3,144.60x = 4,716.89 × 836.10
  4. Step 4: Simplify right side
    3,144.60x = 3,943,766.05
  5. Step 5: Solve for x
    x = 3,943,766.05/3,144.60
  6. Step 6: Final answer
    x = 1,254.14

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.