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Finding the Fourth Proportional to 1,580.50, 2,181 and 872.35

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Solution

The fourth proportional to 1,580.50, 2,181 and 872.35 is: 1,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.50 : 2,181 = 872.35 : x
  2. Step 2: Convert to fraction form
    1,580.50/2,181 = 872.35/x
  3. Step 3: Cross multiply
    1,580.50x = 2,181 × 872.35
  4. Step 4: Simplify right side
    1,580.50x = 1,902,595.35
  5. Step 5: Solve for x
    x = 1,902,595.35/1,580.50
  6. Step 6: Final answer
    x = 1,203.79

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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.