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Finding the Fourth Proportional to 2,164.96, 3,247.60 and 626.08

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Solution

The fourth proportional to 2,164.96, 3,247.60 and 626.08 is: 939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.96 : 3,247.60 = 626.08 : x
  2. Step 2: Convert to fraction form
    2,164.96/3,247.60 = 626.08/x
  3. Step 3: Cross multiply
    2,164.96x = 3,247.60 × 626.08
  4. Step 4: Simplify right side
    2,164.96x = 2,033,257.41
  5. Step 5: Solve for x
    x = 2,033,257.41/2,164.96
  6. Step 6: Final answer
    x = 939.17

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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.