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Finding the Fourth Proportional to 27,308.24, 40,978.28 and 11,512.30

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Solution

The fourth proportional to 27,308.24, 40,978.28 and 11,512.30 is: 17,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,308.24 : 40,978.28 = 11,512.30 : x
  2. Step 2: Convert to fraction form
    27,308.24/40,978.28 = 11,512.30/x
  3. Step 3: Cross multiply
    27,308.24x = 40,978.28 × 11,512.30
  4. Step 4: Simplify right side
    27,308.24x = 471,754,338.89
  5. Step 5: Solve for x
    x = 471,754,338.89/27,308.24
  6. Step 6: Final answer
    x = 17,275.17

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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.