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Finding the Fourth Proportional to 1,580.80, 2,178.80 and 1,082.56

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Solution

The fourth proportional to 1,580.80, 2,178.80 and 1,082.56 is: 1,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.80 : 2,178.80 = 1,082.56 : x
  2. Step 2: Convert to fraction form
    1,580.80/2,178.80 = 1,082.56/x
  3. Step 3: Cross multiply
    1,580.80x = 2,178.80 × 1,082.56
  4. Step 4: Simplify right side
    1,580.80x = 2,358,681.73
  5. Step 5: Solve for x
    x = 2,358,681.73/1,580.80
  6. Step 6: Final answer
    x = 1,492.08

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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.