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Finding the Fourth Proportional to 18,972.78, 26,182.14 and 10,475.76

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Solution

The fourth proportional to 18,972.78, 26,182.14 and 10,475.76 is: 14,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,972.78 : 26,182.14 = 10,475.76 : x
  2. Step 2: Convert to fraction form
    18,972.78/26,182.14 = 10,475.76/x
  3. Step 3: Cross multiply
    18,972.78x = 26,182.14 × 10,475.76
  4. Step 4: Simplify right side
    18,972.78x = 274,277,814.93
  5. Step 5: Solve for x
    x = 274,277,814.93/18,972.78
  6. Step 6: Final answer
    x = 14,456.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.