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Finding the Fourth Proportional to 8,102.59, 12,140.20 and 4,976.08

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Solution

The fourth proportional to 8,102.59, 12,140.20 and 4,976.08 is: 7,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.59 : 12,140.20 = 4,976.08 : x
  2. Step 2: Convert to fraction form
    8,102.59/12,140.20 = 4,976.08/x
  3. Step 3: Cross multiply
    8,102.59x = 12,140.20 × 4,976.08
  4. Step 4: Simplify right side
    8,102.59x = 60,410,606.42
  5. Step 5: Solve for x
    x = 60,410,606.42/8,102.59
  6. Step 6: Final answer
    x = 7,455.72

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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.