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Finding the Fourth Proportional to 1,580.80, 2,376.42 and 1,121.87

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Solution

The fourth proportional to 1,580.80, 2,376.42 and 1,121.87 is: 1,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.80 : 2,376.42 = 1,121.87 : x
  2. Step 2: Convert to fraction form
    1,580.80/2,376.42 = 1,121.87/x
  3. Step 3: Cross multiply
    1,580.80x = 2,376.42 × 1,121.87
  4. Step 4: Simplify right side
    1,580.80x = 2,666,034.31
  5. Step 5: Solve for x
    x = 2,666,034.31/1,580.80
  6. Step 6: Final answer
    x = 1,686.51

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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.