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Finding the Fourth Proportional to 8,284.47, 12,428.12 and 3,019.87

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Solution

The fourth proportional to 8,284.47, 12,428.12 and 3,019.87 is: 4,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.47 : 12,428.12 = 3,019.87 : x
  2. Step 2: Convert to fraction form
    8,284.47/12,428.12 = 3,019.87/x
  3. Step 3: Cross multiply
    8,284.47x = 12,428.12 × 3,019.87
  4. Step 4: Simplify right side
    8,284.47x = 37,531,306.74
  5. Step 5: Solve for x
    x = 37,531,306.74/8,284.47
  6. Step 6: Final answer
    x = 4,530.32

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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.