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Finding the Fourth Proportional to 18,972.64, 28,444.80 and 9,102.52

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Solution

The fourth proportional to 18,972.64, 28,444.80 and 9,102.52 is: 13,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,972.64 : 28,444.80 = 9,102.52 : x
  2. Step 2: Convert to fraction form
    18,972.64/28,444.80 = 9,102.52/x
  3. Step 3: Cross multiply
    18,972.64x = 28,444.80 × 9,102.52
  4. Step 4: Simplify right side
    18,972.64x = 258,919,360.90
  5. Step 5: Solve for x
    x = 258,919,360.90/18,972.64
  6. Step 6: Final answer
    x = 13,646.99

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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.