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Finding the Fourth Proportional to 27,787, 41,697.52 and 11,145.28

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Solution

The fourth proportional to 27,787, 41,697.52 and 11,145.28 is: 16,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787 : 41,697.52 = 11,145.28 : x
  2. Step 2: Convert to fraction form
    27,787/41,697.52 = 11,145.28/x
  3. Step 3: Cross multiply
    27,787x = 41,697.52 × 11,145.28
  4. Step 4: Simplify right side
    27,787x = 464,730,535.71
  5. Step 5: Solve for x
    x = 464,730,535.71/27,787
  6. Step 6: Final answer
    x = 16,724.75

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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.