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Finding the Fourth Proportional to 6,871.28, 9,481.80 and 3,887.48

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Solution

The fourth proportional to 6,871.28, 9,481.80 and 3,887.48 is: 5,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.28 : 9,481.80 = 3,887.48 : x
  2. Step 2: Convert to fraction form
    6,871.28/9,481.80 = 3,887.48/x
  3. Step 3: Cross multiply
    6,871.28x = 9,481.80 × 3,887.48
  4. Step 4: Simplify right side
    6,871.28x = 36,860,307.86
  5. Step 5: Solve for x
    x = 36,860,307.86/6,871.28
  6. Step 6: Final answer
    x = 5,364.40

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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.