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Finding the Fourth Proportional to 8,419.73, 12,530.21 and 8,139.43

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Solution

The fourth proportional to 8,419.73, 12,530.21 and 8,139.43 is: 12,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.73 : 12,530.21 = 8,139.43 : x
  2. Step 2: Convert to fraction form
    8,419.73/12,530.21 = 8,139.43/x
  3. Step 3: Cross multiply
    8,419.73x = 12,530.21 × 8,139.43
  4. Step 4: Simplify right side
    8,419.73x = 101,988,767.18
  5. Step 5: Solve for x
    x = 101,988,767.18/8,419.73
  6. Step 6: Final answer
    x = 12,113.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.