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Finding the Fourth Proportional to 8,484.57, 12,720.24 and 4,039.95

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Solution

The fourth proportional to 8,484.57, 12,720.24 and 4,039.95 is: 6,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.57 : 12,720.24 = 4,039.95 : x
  2. Step 2: Convert to fraction form
    8,484.57/12,720.24 = 4,039.95/x
  3. Step 3: Cross multiply
    8,484.57x = 12,720.24 × 4,039.95
  4. Step 4: Simplify right side
    8,484.57x = 51,389,101.04
  5. Step 5: Solve for x
    x = 51,389,101.04/8,484.57
  6. Step 6: Final answer
    x = 6,056.77

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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.