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Finding the Fourth Proportional to 1,549, 2,139.24 and 1,538.20

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Solution

The fourth proportional to 1,549, 2,139.24 and 1,538.20 is: 2,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549 : 2,139.24 = 1,538.20 : x
  2. Step 2: Convert to fraction form
    1,549/2,139.24 = 1,538.20/x
  3. Step 3: Cross multiply
    1,549x = 2,139.24 × 1,538.20
  4. Step 4: Simplify right side
    1,549x = 3,290,578.97
  5. Step 5: Solve for x
    x = 3,290,578.97/1,549
  6. Step 6: Final answer
    x = 2,124.32

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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.