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Finding the Fourth Proportional to 10,875.52, 15,007.49 and 6,398.40

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Solution

The fourth proportional to 10,875.52, 15,007.49 and 6,398.40 is: 8,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.52 : 15,007.49 = 6,398.40 : x
  2. Step 2: Convert to fraction form
    10,875.52/15,007.49 = 6,398.40/x
  3. Step 3: Cross multiply
    10,875.52x = 15,007.49 × 6,398.40
  4. Step 4: Simplify right side
    10,875.52x = 96,023,923.87
  5. Step 5: Solve for x
    x = 96,023,923.87/10,875.52
  6. Step 6: Final answer
    x = 8,829.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.