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Finding the Fourth Proportional to 13,597.32, 20,382.90 and 7,437

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Solution

The fourth proportional to 13,597.32, 20,382.90 and 7,437 is: 11,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.32 : 20,382.90 = 7,437 : x
  2. Step 2: Convert to fraction form
    13,597.32/20,382.90 = 7,437/x
  3. Step 3: Cross multiply
    13,597.32x = 20,382.90 × 7,437
  4. Step 4: Simplify right side
    13,597.32x = 151,587,627.30
  5. Step 5: Solve for x
    x = 151,587,627.30/13,597.32
  6. Step 6: Final answer
    x = 11,148.35

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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.