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Finding the Fourth Proportional to 3,123.54, 4,685.54 and 932.29

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Solution

The fourth proportional to 3,123.54, 4,685.54 and 932.29 is: 1,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.54 : 4,685.54 = 932.29 : x
  2. Step 2: Convert to fraction form
    3,123.54/4,685.54 = 932.29/x
  3. Step 3: Cross multiply
    3,123.54x = 4,685.54 × 932.29
  4. Step 4: Simplify right side
    3,123.54x = 4,368,265.71
  5. Step 5: Solve for x
    x = 4,368,265.71/3,123.54
  6. Step 6: Final answer
    x = 1,398.50

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1.5x scale

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.