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Finding the Fourth Proportional to 36,315, 54,472.50 and 11,691

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Solution

The fourth proportional to 36,315, 54,472.50 and 11,691 is: 17,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,315 : 54,472.50 = 11,691 : x
  2. Step 2: Convert to fraction form
    36,315/54,472.50 = 11,691/x
  3. Step 3: Cross multiply
    36,315x = 54,472.50 × 11,691
  4. Step 4: Simplify right side
    36,315x = 636,837,997.50
  5. Step 5: Solve for x
    x = 636,837,997.50/36,315
  6. Step 6: Final answer
    x = 17,536.50

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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.