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Finding the Fourth Proportional to 5,687.65, 8,531.46 and 2,178.01

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Solution

The fourth proportional to 5,687.65, 8,531.46 and 2,178.01 is: 3,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.65 : 8,531.46 = 2,178.01 : x
  2. Step 2: Convert to fraction form
    5,687.65/8,531.46 = 2,178.01/x
  3. Step 3: Cross multiply
    5,687.65x = 8,531.46 × 2,178.01
  4. Step 4: Simplify right side
    5,687.65x = 18,581,605.19
  5. Step 5: Solve for x
    x = 18,581,605.19/5,687.65
  6. Step 6: Final answer
    x = 3,267.01

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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.