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Finding the Fourth Proportional to 8,712.14, 13,132.51 and 8,204.10

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Solution

The fourth proportional to 8,712.14, 13,132.51 and 8,204.10 is: 12,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.14 : 13,132.51 = 8,204.10 : x
  2. Step 2: Convert to fraction form
    8,712.14/13,132.51 = 8,204.10/x
  3. Step 3: Cross multiply
    8,712.14x = 13,132.51 × 8,204.10
  4. Step 4: Simplify right side
    8,712.14x = 107,740,425.29
  5. Step 5: Solve for x
    x = 107,740,425.29/8,712.14
  6. Step 6: Final answer
    x = 12,366.70

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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.