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Finding the Fourth Proportional to 1,572.44, 2,169.92 and 864.26

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Solution

The fourth proportional to 1,572.44, 2,169.92 and 864.26 is: 1,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.44 : 2,169.92 = 864.26 : x
  2. Step 2: Convert to fraction form
    1,572.44/2,169.92 = 864.26/x
  3. Step 3: Cross multiply
    1,572.44x = 2,169.92 × 864.26
  4. Step 4: Simplify right side
    1,572.44x = 1,875,375.06
  5. Step 5: Solve for x
    x = 1,875,375.06/1,572.44
  6. Step 6: Final answer
    x = 1,192.65

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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.