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Finding the Fourth Proportional to 7,762.85, 11,644.31 and 3,319.87

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Solution

The fourth proportional to 7,762.85, 11,644.31 and 3,319.87 is: 4,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.85 : 11,644.31 = 3,319.87 : x
  2. Step 2: Convert to fraction form
    7,762.85/11,644.31 = 3,319.87/x
  3. Step 3: Cross multiply
    7,762.85x = 11,644.31 × 3,319.87
  4. Step 4: Simplify right side
    7,762.85x = 38,657,595.44
  5. Step 5: Solve for x
    x = 38,657,595.44/7,762.85
  6. Step 6: Final answer
    x = 4,979.82

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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.