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Finding the Fourth Proportional to 5,122.84, 7,684.08 and 1,660

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Solution

The fourth proportional to 5,122.84, 7,684.08 and 1,660 is: 2,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.84 : 7,684.08 = 1,660 : x
  2. Step 2: Convert to fraction form
    5,122.84/7,684.08 = 1,660/x
  3. Step 3: Cross multiply
    5,122.84x = 7,684.08 × 1,660
  4. Step 4: Simplify right side
    5,122.84x = 12,755,572.80
  5. Step 5: Solve for x
    x = 12,755,572.80/5,122.84
  6. Step 6: Final answer
    x = 2,489.94

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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.