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Finding the Fourth Proportional to 13,562.32, 20,347.80 and 7,402

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Solution

The fourth proportional to 13,562.32, 20,347.80 and 7,402 is: 11,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.32 : 20,347.80 = 7,402 : x
  2. Step 2: Convert to fraction form
    13,562.32/20,347.80 = 7,402/x
  3. Step 3: Cross multiply
    13,562.32x = 20,347.80 × 7,402
  4. Step 4: Simplify right side
    13,562.32x = 150,614,415.60
  5. Step 5: Solve for x
    x = 150,614,415.60/13,562.32
  6. Step 6: Final answer
    x = 11,105.36

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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.