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Finding the Fourth Proportional to 5,677.29, 8,516 and 1,729.19

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Solution

The fourth proportional to 5,677.29, 8,516 and 1,729.19 is: 2,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.29 : 8,516 = 1,729.19 : x
  2. Step 2: Convert to fraction form
    5,677.29/8,516 = 1,729.19/x
  3. Step 3: Cross multiply
    5,677.29x = 8,516 × 1,729.19
  4. Step 4: Simplify right side
    5,677.29x = 14,725,782.04
  5. Step 5: Solve for x
    x = 14,725,782.04/5,677.29
  6. Step 6: Final answer
    x = 2,593.80

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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.