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Finding the Fourth Proportional to 3,543.61, 5,314.80 and 945.94

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Solution

The fourth proportional to 3,543.61, 5,314.80 and 945.94 is: 1,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.61 : 5,314.80 = 945.94 : x
  2. Step 2: Convert to fraction form
    3,543.61/5,314.80 = 945.94/x
  3. Step 3: Cross multiply
    3,543.61x = 5,314.80 × 945.94
  4. Step 4: Simplify right side
    3,543.61x = 5,027,468.63
  5. Step 5: Solve for x
    x = 5,027,468.63/3,543.61
  6. Step 6: Final answer
    x = 1,418.74

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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.