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Finding the Fourth Proportional to 1,543.11, 2,129.50 and 844.49

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Solution

The fourth proportional to 1,543.11, 2,129.50 and 844.49 is: 1,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.11 : 2,129.50 = 844.49 : x
  2. Step 2: Convert to fraction form
    1,543.11/2,129.50 = 844.49/x
  3. Step 3: Cross multiply
    1,543.11x = 2,129.50 × 844.49
  4. Step 4: Simplify right side
    1,543.11x = 1,798,330.81
  5. Step 5: Solve for x
    x = 1,798,330.81/1,543.11
  6. Step 6: Final answer
    x = 1,165.39

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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.