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Finding the Fourth Proportional to 13,318.80, 19,978.20 and 7,475.28

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Solution

The fourth proportional to 13,318.80, 19,978.20 and 7,475.28 is: 11,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,318.80 : 19,978.20 = 7,475.28 : x
  2. Step 2: Convert to fraction form
    13,318.80/19,978.20 = 7,475.28/x
  3. Step 3: Cross multiply
    13,318.80x = 19,978.20 × 7,475.28
  4. Step 4: Simplify right side
    13,318.80x = 149,342,638.90
  5. Step 5: Solve for x
    x = 149,342,638.90/13,318.80
  6. Step 6: Final answer
    x = 11,212.92

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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.