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Finding the Fourth Proportional to 8,687.84, 13,031.78 and 6,102.32

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Solution

The fourth proportional to 8,687.84, 13,031.78 and 6,102.32 is: 9,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.84 : 13,031.78 = 6,102.32 : x
  2. Step 2: Convert to fraction form
    8,687.84/13,031.78 = 6,102.32/x
  3. Step 3: Cross multiply
    8,687.84x = 13,031.78 × 6,102.32
  4. Step 4: Simplify right side
    8,687.84x = 79,524,091.73
  5. Step 5: Solve for x
    x = 79,524,091.73/8,687.84
  6. Step 6: Final answer
    x = 9,153.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.