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Finding the Fourth Proportional to 10,505.81, 15,750.20 and 3,931.04

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Solution

The fourth proportional to 10,505.81, 15,750.20 and 3,931.04 is: 5,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.81 : 15,750.20 = 3,931.04 : x
  2. Step 2: Convert to fraction form
    10,505.81/15,750.20 = 3,931.04/x
  3. Step 3: Cross multiply
    10,505.81x = 15,750.20 × 3,931.04
  4. Step 4: Simplify right side
    10,505.81x = 61,914,567.80
  5. Step 5: Solve for x
    x = 61,914,567.80/10,505.81
  6. Step 6: Final answer
    x = 5,893.37

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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.