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Finding the Fourth Proportional to 7,865.55, 11,801.16 and 3,967.02

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Solution

The fourth proportional to 7,865.55, 11,801.16 and 3,967.02 is: 5,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.55 : 11,801.16 = 3,967.02 : x
  2. Step 2: Convert to fraction form
    7,865.55/11,801.16 = 3,967.02/x
  3. Step 3: Cross multiply
    7,865.55x = 11,801.16 × 3,967.02
  4. Step 4: Simplify right side
    7,865.55x = 46,815,437.74
  5. Step 5: Solve for x
    x = 46,815,437.74/7,865.55
  6. Step 6: Final answer
    x = 5,951.96

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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.