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Finding the Fourth Proportional to 1,543.04, 2,129.26 and 879.92

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Solution

The fourth proportional to 1,543.04, 2,129.26 and 879.92 is: 1,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.04 : 2,129.26 = 879.92 : x
  2. Step 2: Convert to fraction form
    1,543.04/2,129.26 = 879.92/x
  3. Step 3: Cross multiply
    1,543.04x = 2,129.26 × 879.92
  4. Step 4: Simplify right side
    1,543.04x = 1,873,578.46
  5. Step 5: Solve for x
    x = 1,873,578.46/1,543.04
  6. Step 6: Final answer
    x = 1,214.21

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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.