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Finding the Fourth Proportional to 2,141.16, 3,211.48 and 581.06

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Solution

The fourth proportional to 2,141.16, 3,211.48 and 581.06 is: 871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.16 : 3,211.48 = 581.06 : x
  2. Step 2: Convert to fraction form
    2,141.16/3,211.48 = 581.06/x
  3. Step 3: Cross multiply
    2,141.16x = 3,211.48 × 581.06
  4. Step 4: Simplify right side
    2,141.16x = 1,866,062.57
  5. Step 5: Solve for x
    x = 1,866,062.57/2,141.16
  6. Step 6: Final answer
    x = 871.52

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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.