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Finding the Fourth Proportional to 17,878.71, 26,822.49 and 12,624.02

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Solution

The fourth proportional to 17,878.71, 26,822.49 and 12,624.02 is: 18,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.71 : 26,822.49 = 12,624.02 : x
  2. Step 2: Convert to fraction form
    17,878.71/26,822.49 = 12,624.02/x
  3. Step 3: Cross multiply
    17,878.71x = 26,822.49 × 12,624.02
  4. Step 4: Simplify right side
    17,878.71x = 338,607,452.98
  5. Step 5: Solve for x
    x = 338,607,452.98/17,878.71
  6. Step 6: Final answer
    x = 18,939.14

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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.