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Finding the Fourth Proportional to 8,616.86, 12,925.36 and 4,719.14

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Solution

The fourth proportional to 8,616.86, 12,925.36 and 4,719.14 is: 7,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.86 : 12,925.36 = 4,719.14 : x
  2. Step 2: Convert to fraction form
    8,616.86/12,925.36 = 4,719.14/x
  3. Step 3: Cross multiply
    8,616.86x = 12,925.36 × 4,719.14
  4. Step 4: Simplify right side
    8,616.86x = 60,996,546.59
  5. Step 5: Solve for x
    x = 60,996,546.59/8,616.86
  6. Step 6: Final answer
    x = 7,078.75

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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.