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Finding the Fourth Proportional to 13,497.84, 20,213.28 and 9,342

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Solution

The fourth proportional to 13,497.84, 20,213.28 and 9,342 is: 13,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.84 : 20,213.28 = 9,342 : x
  2. Step 2: Convert to fraction form
    13,497.84/20,213.28 = 9,342/x
  3. Step 3: Cross multiply
    13,497.84x = 20,213.28 × 9,342
  4. Step 4: Simplify right side
    13,497.84x = 188,832,461.76
  5. Step 5: Solve for x
    x = 188,832,461.76/13,497.84
  6. Step 6: Final answer
    x = 13,989.83

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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.