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Finding the Fourth Proportional to 18,856, 26,022.09 and 10,472.50

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Solution

The fourth proportional to 18,856, 26,022.09 and 10,472.50 is: 14,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,856 : 26,022.09 = 10,472.50 : x
  2. Step 2: Convert to fraction form
    18,856/26,022.09 = 10,472.50/x
  3. Step 3: Cross multiply
    18,856x = 26,022.09 × 10,472.50
  4. Step 4: Simplify right side
    18,856x = 272,516,337.53
  5. Step 5: Solve for x
    x = 272,516,337.53/18,856
  6. Step 6: Final answer
    x = 14,452.50

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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.