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Finding the Fourth Proportional to 1,570.92, 2,167.87 and 872.30

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Solution

The fourth proportional to 1,570.92, 2,167.87 and 872.30 is: 1,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.92 : 2,167.87 = 872.30 : x
  2. Step 2: Convert to fraction form
    1,570.92/2,167.87 = 872.30/x
  3. Step 3: Cross multiply
    1,570.92x = 2,167.87 × 872.30
  4. Step 4: Simplify right side
    1,570.92x = 1,891,028.13
  5. Step 5: Solve for x
    x = 1,891,028.13/1,570.92
  6. Step 6: Final answer
    x = 1,203.77

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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.