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Finding the Fourth Proportional to 10,431.14, 15,646.80 and 8,348.42

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Solution

The fourth proportional to 10,431.14, 15,646.80 and 8,348.42 is: 12,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.14 : 15,646.80 = 8,348.42 : x
  2. Step 2: Convert to fraction form
    10,431.14/15,646.80 = 8,348.42/x
  3. Step 3: Cross multiply
    10,431.14x = 15,646.80 × 8,348.42
  4. Step 4: Simplify right side
    10,431.14x = 130,625,979.82
  5. Step 5: Solve for x
    x = 130,625,979.82/10,431.14
  6. Step 6: Final answer
    x = 12,522.70

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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.