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Finding the Fourth Proportional to 2,312.67, 3,469.05 and 581.25

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Solution

The fourth proportional to 2,312.67, 3,469.05 and 581.25 is: 871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.67 : 3,469.05 = 581.25 : x
  2. Step 2: Convert to fraction form
    2,312.67/3,469.05 = 581.25/x
  3. Step 3: Cross multiply
    2,312.67x = 3,469.05 × 581.25
  4. Step 4: Simplify right side
    2,312.67x = 2,016,385.31
  5. Step 5: Solve for x
    x = 2,016,385.31/2,312.67
  6. Step 6: Final answer
    x = 871.89

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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.