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Finding the Fourth Proportional to 19,122.32, 28,692 and 9,757.40

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Solution

The fourth proportional to 19,122.32, 28,692 and 9,757.40 is: 14,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.32 : 28,692 = 9,757.40 : x
  2. Step 2: Convert to fraction form
    19,122.32/28,692 = 9,757.40/x
  3. Step 3: Cross multiply
    19,122.32x = 28,692 × 9,757.40
  4. Step 4: Simplify right side
    19,122.32x = 279,959,177.34
  5. Step 5: Solve for x
    x = 279,959,177.34/19,122.32
  6. Step 6: Final answer
    x = 14,640.44

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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.