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Finding the Fourth Proportional to 9,765.85, 13,478.97 and 6,367.11

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Solution

The fourth proportional to 9,765.85, 13,478.97 and 6,367.11 is: 8,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.85 : 13,478.97 = 6,367.11 : x
  2. Step 2: Convert to fraction form
    9,765.85/13,478.97 = 6,367.11/x
  3. Step 3: Cross multiply
    9,765.85x = 13,478.97 × 6,367.11
  4. Step 4: Simplify right side
    9,765.85x = 85,822,084.68
  5. Step 5: Solve for x
    x = 85,822,084.68/9,765.85
  6. Step 6: Final answer
    x = 8,787.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.