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Finding the Fourth Proportional to 36,415, 54,631.14 and 11,791

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Solution

The fourth proportional to 36,415, 54,631.14 and 11,791 is: 17,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,415 : 54,631.14 = 11,791 : x
  2. Step 2: Convert to fraction form
    36,415/54,631.14 = 11,791/x
  3. Step 3: Cross multiply
    36,415x = 54,631.14 × 11,791
  4. Step 4: Simplify right side
    36,415x = 644,155,771.74
  5. Step 5: Solve for x
    x = 644,155,771.74/36,415
  6. Step 6: Final answer
    x = 17,689.30

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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.