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Finding the Fourth Proportional to 14,978.40, 22,456.80 and 9,787.20

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Solution

The fourth proportional to 14,978.40, 22,456.80 and 9,787.20 is: 14,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.40 : 22,456.80 = 9,787.20 : x
  2. Step 2: Convert to fraction form
    14,978.40/22,456.80 = 9,787.20/x
  3. Step 3: Cross multiply
    14,978.40x = 22,456.80 × 9,787.20
  4. Step 4: Simplify right side
    14,978.40x = 219,789,192.96
  5. Step 5: Solve for x
    x = 219,789,192.96/14,978.40
  6. Step 6: Final answer
    x = 14,673.74

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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.