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Finding the Fourth Proportional to 18,211.52, 27,292.80 and 9,428

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Solution

The fourth proportional to 18,211.52, 27,292.80 and 9,428 is: 14,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,211.52 : 27,292.80 = 9,428 : x
  2. Step 2: Convert to fraction form
    18,211.52/27,292.80 = 9,428/x
  3. Step 3: Cross multiply
    18,211.52x = 27,292.80 × 9,428
  4. Step 4: Simplify right side
    18,211.52x = 257,316,518.40
  5. Step 5: Solve for x
    x = 257,316,518.40/18,211.52
  6. Step 6: Final answer
    x = 14,129.33

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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.