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Finding the Fourth Proportional to 8,765.76, 12,080 and 6,277.44

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Solution

The fourth proportional to 8,765.76, 12,080 and 6,277.44 is: 8,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.76 : 12,080 = 6,277.44 : x
  2. Step 2: Convert to fraction form
    8,765.76/12,080 = 6,277.44/x
  3. Step 3: Cross multiply
    8,765.76x = 12,080 × 6,277.44
  4. Step 4: Simplify right side
    8,765.76x = 75,831,475.20
  5. Step 5: Solve for x
    x = 75,831,475.20/8,765.76
  6. Step 6: Final answer
    x = 8,650.87

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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.