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Finding the Fourth Proportional to 22,381.92, 30,883.68 and 13,428

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Solution

The fourth proportional to 22,381.92, 30,883.68 and 13,428 is: 18,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.92 : 30,883.68 = 13,428 : x
  2. Step 2: Convert to fraction form
    22,381.92/30,883.68 = 13,428/x
  3. Step 3: Cross multiply
    22,381.92x = 30,883.68 × 13,428
  4. Step 4: Simplify right side
    22,381.92x = 414,706,055.04
  5. Step 5: Solve for x
    x = 414,706,055.04/22,381.92
  6. Step 6: Final answer
    x = 18,528.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.