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Finding the Fourth Proportional to 8,471.02, 12,706.35 and 2,924.19

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Solution

The fourth proportional to 8,471.02, 12,706.35 and 2,924.19 is: 4,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.02 : 12,706.35 = 2,924.19 : x
  2. Step 2: Convert to fraction form
    8,471.02/12,706.35 = 2,924.19/x
  3. Step 3: Cross multiply
    8,471.02x = 12,706.35 × 2,924.19
  4. Step 4: Simplify right side
    8,471.02x = 37,155,781.61
  5. Step 5: Solve for x
    x = 37,155,781.61/8,471.02
  6. Step 6: Final answer
    x = 4,386.22

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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.