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Finding the Fourth Proportional to 5,695.68, 7,853.04 and 4,123.20

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Solution

The fourth proportional to 5,695.68, 7,853.04 and 4,123.20 is: 5,684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.68 : 7,853.04 = 4,123.20 : x
  2. Step 2: Convert to fraction form
    5,695.68/7,853.04 = 4,123.20/x
  3. Step 3: Cross multiply
    5,695.68x = 7,853.04 × 4,123.20
  4. Step 4: Simplify right side
    5,695.68x = 32,379,654.53
  5. Step 5: Solve for x
    x = 32,379,654.53/5,695.68
  6. Step 6: Final answer
    x = 5,684.95

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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.