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Finding the Fourth Proportional to 3,207.60, 4,811.40 and 899.10

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Solution

The fourth proportional to 3,207.60, 4,811.40 and 899.10 is: 1,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.60 : 4,811.40 = 899.10 : x
  2. Step 2: Convert to fraction form
    3,207.60/4,811.40 = 899.10/x
  3. Step 3: Cross multiply
    3,207.60x = 4,811.40 × 899.10
  4. Step 4: Simplify right side
    3,207.60x = 4,325,929.74
  5. Step 5: Solve for x
    x = 4,325,929.74/3,207.60
  6. Step 6: Final answer
    x = 1,348.65

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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.