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Finding the Fourth Proportional to 8,484, 12,712.14 and 4,318.26

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Solution

The fourth proportional to 8,484, 12,712.14 and 4,318.26 is: 6,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484 : 12,712.14 = 4,318.26 : x
  2. Step 2: Convert to fraction form
    8,484/12,712.14 = 4,318.26/x
  3. Step 3: Cross multiply
    8,484x = 12,712.14 × 4,318.26
  4. Step 4: Simplify right side
    8,484x = 54,894,325.68
  5. Step 5: Solve for x
    x = 54,894,325.68/8,484
  6. Step 6: Final answer
    x = 6,470.34

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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.