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Finding the Fourth Proportional to 1,327.76, 1,988.90 and 1,034.94

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Solution

The fourth proportional to 1,327.76, 1,988.90 and 1,034.94 is: 1,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.76 : 1,988.90 = 1,034.94 : x
  2. Step 2: Convert to fraction form
    1,327.76/1,988.90 = 1,034.94/x
  3. Step 3: Cross multiply
    1,327.76x = 1,988.90 × 1,034.94
  4. Step 4: Simplify right side
    1,327.76x = 2,058,386.99
  5. Step 5: Solve for x
    x = 2,058,386.99/1,327.76
  6. Step 6: Final answer
    x = 1,550.28

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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.