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Finding the Fourth Proportional to 5,123.46, 7,685.10 and 1,660.80

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Solution

The fourth proportional to 5,123.46, 7,685.10 and 1,660.80 is: 2,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.46 : 7,685.10 = 1,660.80 : x
  2. Step 2: Convert to fraction form
    5,123.46/7,685.10 = 1,660.80/x
  3. Step 3: Cross multiply
    5,123.46x = 7,685.10 × 1,660.80
  4. Step 4: Simplify right side
    5,123.46x = 12,763,414.08
  5. Step 5: Solve for x
    x = 12,763,414.08/5,123.46
  6. Step 6: Final answer
    x = 2,491.17

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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.