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Finding the Fourth Proportional to 8,938.64, 13,403.70 and 4,008.32

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Solution

The fourth proportional to 8,938.64, 13,403.70 and 4,008.32 is: 6,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.64 : 13,403.70 = 4,008.32 : x
  2. Step 2: Convert to fraction form
    8,938.64/13,403.70 = 4,008.32/x
  3. Step 3: Cross multiply
    8,938.64x = 13,403.70 × 4,008.32
  4. Step 4: Simplify right side
    8,938.64x = 53,726,318.78
  5. Step 5: Solve for x
    x = 53,726,318.78/8,938.64
  6. Step 6: Final answer
    x = 6,010.57

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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.