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Finding the Fourth Proportional to 9,687.87, 13,282.18 and 9,512.91

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Solution

The fourth proportional to 9,687.87, 13,282.18 and 9,512.91 is: 13,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.87 : 13,282.18 = 9,512.91 : x
  2. Step 2: Convert to fraction form
    9,687.87/13,282.18 = 9,512.91/x
  3. Step 3: Cross multiply
    9,687.87x = 13,282.18 × 9,512.91
  4. Step 4: Simplify right side
    9,687.87x = 126,352,159.16
  5. Step 5: Solve for x
    x = 126,352,159.16/9,687.87
  6. Step 6: Final answer
    x = 13,042.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.