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Finding the Fourth Proportional to 1,839.68, 2,538.11 and 1,042.89

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Solution

The fourth proportional to 1,839.68, 2,538.11 and 1,042.89 is: 1,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.68 : 2,538.11 = 1,042.89 : x
  2. Step 2: Convert to fraction form
    1,839.68/2,538.11 = 1,042.89/x
  3. Step 3: Cross multiply
    1,839.68x = 2,538.11 × 1,042.89
  4. Step 4: Simplify right side
    1,839.68x = 2,646,962.63
  5. Step 5: Solve for x
    x = 2,646,962.63/1,839.68
  6. Step 6: Final answer
    x = 1,438.82

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