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Finding the Fourth Proportional to 26,689, 36,834.08 and 15,511

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Solution

The fourth proportional to 26,689, 36,834.08 and 15,511 is: 21,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,689 : 36,834.08 = 15,511 : x
  2. Step 2: Convert to fraction form
    26,689/36,834.08 = 15,511/x
  3. Step 3: Cross multiply
    26,689x = 36,834.08 × 15,511
  4. Step 4: Simplify right side
    26,689x = 571,333,414.88
  5. Step 5: Solve for x
    x = 571,333,414.88/26,689
  6. Step 6: Final answer
    x = 21,407.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.