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Finding the Fourth Proportional to 10,871.46, 14,987.97 and 7,087.14

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Solution

The fourth proportional to 10,871.46, 14,987.97 and 7,087.14 is: 9,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.46 : 14,987.97 = 7,087.14 : x
  2. Step 2: Convert to fraction form
    10,871.46/14,987.97 = 7,087.14/x
  3. Step 3: Cross multiply
    10,871.46x = 14,987.97 × 7,087.14
  4. Step 4: Simplify right side
    10,871.46x = 106,221,841.71
  5. Step 5: Solve for x
    x = 106,221,841.71/10,871.46
  6. Step 6: Final answer
    x = 9,770.71

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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.