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Finding the Fourth Proportional to 8,961.92, 12,362.31 and 7,440.87

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Solution

The fourth proportional to 8,961.92, 12,362.31 and 7,440.87 is: 10,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.92 : 12,362.31 = 7,440.87 : x
  2. Step 2: Convert to fraction form
    8,961.92/12,362.31 = 7,440.87/x
  3. Step 3: Cross multiply
    8,961.92x = 12,362.31 × 7,440.87
  4. Step 4: Simplify right side
    8,961.92x = 91,986,341.61
  5. Step 5: Solve for x
    x = 91,986,341.61/8,961.92
  6. Step 6: Final answer
    x = 10,264.14

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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.