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Finding the Fourth Proportional to 17,729.88, 26,597.70 and 5,415

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Solution

The fourth proportional to 17,729.88, 26,597.70 and 5,415 is: 8,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.88 : 26,597.70 = 5,415 : x
  2. Step 2: Convert to fraction form
    17,729.88/26,597.70 = 5,415/x
  3. Step 3: Cross multiply
    17,729.88x = 26,597.70 × 5,415
  4. Step 4: Simplify right side
    17,729.88x = 144,026,545.50
  5. Step 5: Solve for x
    x = 144,026,545.50/17,729.88
  6. Step 6: Final answer
    x = 8,123.38

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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.