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Finding the Fourth Proportional to 8,002.13, 12,007.51 and 3,898.13

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Solution

The fourth proportional to 8,002.13, 12,007.51 and 3,898.13 is: 5,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.13 : 12,007.51 = 3,898.13 : x
  2. Step 2: Convert to fraction form
    8,002.13/12,007.51 = 3,898.13/x
  3. Step 3: Cross multiply
    8,002.13x = 12,007.51 × 3,898.13
  4. Step 4: Simplify right side
    8,002.13x = 46,806,815.47
  5. Step 5: Solve for x
    x = 46,806,815.47/8,002.13
  6. Step 6: Final answer
    x = 5,849.29

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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.