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Finding the Fourth Proportional to 5,123.96, 7,685.04 and 1,425.20

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Solution

The fourth proportional to 5,123.96, 7,685.04 and 1,425.20 is: 2,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.96 : 7,685.04 = 1,425.20 : x
  2. Step 2: Convert to fraction form
    5,123.96/7,685.04 = 1,425.20/x
  3. Step 3: Cross multiply
    5,123.96x = 7,685.04 × 1,425.20
  4. Step 4: Simplify right side
    5,123.96x = 10,952,680.58
  5. Step 5: Solve for x
    x = 10,952,680.58/5,123.96
  6. Step 6: Final answer
    x = 2,137.54

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Double scale
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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.