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Finding the Fourth Proportional to 8,357.88, 12,514.14 and 5,428.92

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Solution

The fourth proportional to 8,357.88, 12,514.14 and 5,428.92 is: 8,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.88 : 12,514.14 = 5,428.92 : x
  2. Step 2: Convert to fraction form
    8,357.88/12,514.14 = 5,428.92/x
  3. Step 3: Cross multiply
    8,357.88x = 12,514.14 × 5,428.92
  4. Step 4: Simplify right side
    8,357.88x = 67,938,264.93
  5. Step 5: Solve for x
    x = 67,938,264.93/8,357.88
  6. Step 6: Final answer
    x = 8,128.65

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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.