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Finding the Fourth Proportional to 24,480.40, 33,780.63 and 13,870

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Solution

The fourth proportional to 24,480.40, 33,780.63 and 13,870 is: 19,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480.40 : 33,780.63 = 13,870 : x
  2. Step 2: Convert to fraction form
    24,480.40/33,780.63 = 13,870/x
  3. Step 3: Cross multiply
    24,480.40x = 33,780.63 × 13,870
  4. Step 4: Simplify right side
    24,480.40x = 468,537,338.10
  5. Step 5: Solve for x
    x = 468,537,338.10/24,480.40
  6. Step 6: Final answer
    x = 19,139.28

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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.