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Finding the Fourth Proportional to 3,543.88, 5,315.42 and 946.64

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Solution

The fourth proportional to 3,543.88, 5,315.42 and 946.64 is: 1,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.88 : 5,315.42 = 946.64 : x
  2. Step 2: Convert to fraction form
    3,543.88/5,315.42 = 946.64/x
  3. Step 3: Cross multiply
    3,543.88x = 5,315.42 × 946.64
  4. Step 4: Simplify right side
    3,543.88x = 5,031,789.19
  5. Step 5: Solve for x
    x = 5,031,789.19/3,543.88
  6. Step 6: Final answer
    x = 1,419.85

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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.