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Finding the Fourth Proportional to 27,115.40, 40,690.38 and 11,533

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Solution

The fourth proportional to 27,115.40, 40,690.38 and 11,533 is: 17,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115.40 : 40,690.38 = 11,533 : x
  2. Step 2: Convert to fraction form
    27,115.40/40,690.38 = 11,533/x
  3. Step 3: Cross multiply
    27,115.40x = 40,690.38 × 11,533
  4. Step 4: Simplify right side
    27,115.40x = 469,282,152.54
  5. Step 5: Solve for x
    x = 469,282,152.54/27,115.40
  6. Step 6: Final answer
    x = 17,306.85

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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.