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Finding the Fourth Proportional to 5,659.71, 8,489.16 and 1,764

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Solution

The fourth proportional to 5,659.71, 8,489.16 and 1,764 is: 2,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.71 : 8,489.16 = 1,764 : x
  2. Step 2: Convert to fraction form
    5,659.71/8,489.16 = 1,764/x
  3. Step 3: Cross multiply
    5,659.71x = 8,489.16 × 1,764
  4. Step 4: Simplify right side
    5,659.71x = 14,974,878.24
  5. Step 5: Solve for x
    x = 14,974,878.24/5,659.71
  6. Step 6: Final answer
    x = 2,645.87

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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.