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Finding the Fourth Proportional to 12,689.14, 19,019.13 and 8,524.12

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Solution

The fourth proportional to 12,689.14, 19,019.13 and 8,524.12 is: 12,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.14 : 19,019.13 = 8,524.12 : x
  2. Step 2: Convert to fraction form
    12,689.14/19,019.13 = 8,524.12/x
  3. Step 3: Cross multiply
    12,689.14x = 19,019.13 × 8,524.12
  4. Step 4: Simplify right side
    12,689.14x = 162,121,346.42
  5. Step 5: Solve for x
    x = 162,121,346.42/12,689.14
  6. Step 6: Final answer
    x = 12,776.39

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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.