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Finding the Fourth Proportional to 1,342.76, 1,839.62 and 1,290.92

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Solution

The fourth proportional to 1,342.76, 1,839.62 and 1,290.92 is: 1,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.76 : 1,839.62 = 1,290.92 : x
  2. Step 2: Convert to fraction form
    1,342.76/1,839.62 = 1,290.92/x
  3. Step 3: Cross multiply
    1,342.76x = 1,839.62 × 1,290.92
  4. Step 4: Simplify right side
    1,342.76x = 2,374,802.25
  5. Step 5: Solve for x
    x = 2,374,802.25/1,342.76
  6. Step 6: Final answer
    x = 1,768.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.