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Finding the Fourth Proportional to 26,146.88, 39,182.88 and 20,276

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Solution

The fourth proportional to 26,146.88, 39,182.88 and 20,276 is: 30,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,146.88 : 39,182.88 = 20,276 : x
  2. Step 2: Convert to fraction form
    26,146.88/39,182.88 = 20,276/x
  3. Step 3: Cross multiply
    26,146.88x = 39,182.88 × 20,276
  4. Step 4: Simplify right side
    26,146.88x = 794,472,074.88
  5. Step 5: Solve for x
    x = 794,472,074.88/26,146.88
  6. Step 6: Final answer
    x = 30,384.97

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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.