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Finding the Fourth Proportional to 3,712.43, 5,123.05 and 3,214.89

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Solution

The fourth proportional to 3,712.43, 5,123.05 and 3,214.89 is: 4,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.43 : 5,123.05 = 3,214.89 : x
  2. Step 2: Convert to fraction form
    3,712.43/5,123.05 = 3,214.89/x
  3. Step 3: Cross multiply
    3,712.43x = 5,123.05 × 3,214.89
  4. Step 4: Simplify right side
    3,712.43x = 16,470,034.18
  5. Step 5: Solve for x
    x = 16,470,034.18/3,712.43
  6. Step 6: Final answer
    x = 4,436.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.