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Finding the Fourth Proportional to 8,721.92, 13,130.78 and 7,687.82

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Solution

The fourth proportional to 8,721.92, 13,130.78 and 7,687.82 is: 11,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.92 : 13,130.78 = 7,687.82 : x
  2. Step 2: Convert to fraction form
    8,721.92/13,130.78 = 7,687.82/x
  3. Step 3: Cross multiply
    8,721.92x = 13,130.78 × 7,687.82
  4. Step 4: Simplify right side
    8,721.92x = 100,947,073.10
  5. Step 5: Solve for x
    x = 100,947,073.10/8,721.92
  6. Step 6: Final answer
    x = 11,573.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.