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Finding the Fourth Proportional to 8,701.20, 13,040.76 and 4,074

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Solution

The fourth proportional to 8,701.20, 13,040.76 and 4,074 is: 6,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.20 : 13,040.76 = 4,074 : x
  2. Step 2: Convert to fraction form
    8,701.20/13,040.76 = 4,074/x
  3. Step 3: Cross multiply
    8,701.20x = 13,040.76 × 4,074
  4. Step 4: Simplify right side
    8,701.20x = 53,128,056.24
  5. Step 5: Solve for x
    x = 53,128,056.24/8,701.20
  6. Step 6: Final answer
    x = 6,105.83

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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.