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Finding the Fourth Proportional to 10,289.92, 15,390.78 and 9,542.92

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Solution

The fourth proportional to 10,289.92, 15,390.78 and 9,542.92 is: 14,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.92 : 15,390.78 = 9,542.92 : x
  2. Step 2: Convert to fraction form
    10,289.92/15,390.78 = 9,542.92/x
  3. Step 3: Cross multiply
    10,289.92x = 15,390.78 × 9,542.92
  4. Step 4: Simplify right side
    10,289.92x = 146,872,982.28
  5. Step 5: Solve for x
    x = 146,872,982.28/10,289.92
  6. Step 6: Final answer
    x = 14,273.48

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1.5x scale

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.