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Finding the Fourth Proportional to 5,281.12, 7,913.67 and 3,958.48

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Solution

The fourth proportional to 5,281.12, 7,913.67 and 3,958.48 is: 5,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.12 : 7,913.67 = 3,958.48 : x
  2. Step 2: Convert to fraction form
    5,281.12/7,913.67 = 3,958.48/x
  3. Step 3: Cross multiply
    5,281.12x = 7,913.67 × 3,958.48
  4. Step 4: Simplify right side
    5,281.12x = 31,326,104.42
  5. Step 5: Solve for x
    x = 31,326,104.42/5,281.12
  6. Step 6: Final answer
    x = 5,931.72

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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.