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Finding the Fourth Proportional to 5,687.18, 7,855.96 and 5,156.65

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Solution

The fourth proportional to 5,687.18, 7,855.96 and 5,156.65 is: 7,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.18 : 7,855.96 = 5,156.65 : x
  2. Step 2: Convert to fraction form
    5,687.18/7,855.96 = 5,156.65/x
  3. Step 3: Cross multiply
    5,687.18x = 7,855.96 × 5,156.65
  4. Step 4: Simplify right side
    5,687.18x = 40,510,479.33
  5. Step 5: Solve for x
    x = 40,510,479.33/5,687.18
  6. Step 6: Final answer
    x = 7,123.12

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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.