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Finding the Fourth Proportional to 9,687.92, 13,387.70 and 8,252.06

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Solution

The fourth proportional to 9,687.92, 13,387.70 and 8,252.06 is: 11,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.92 : 13,387.70 = 8,252.06 : x
  2. Step 2: Convert to fraction form
    9,687.92/13,387.70 = 8,252.06/x
  3. Step 3: Cross multiply
    9,687.92x = 13,387.70 × 8,252.06
  4. Step 4: Simplify right side
    9,687.92x = 110,475,995.46
  5. Step 5: Solve for x
    x = 110,475,995.46/9,687.92
  6. Step 6: Final answer
    x = 11,403.49

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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.