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Finding the Fourth Proportional to 8,272.66, 12,409.06 and 3,011.40

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Solution

The fourth proportional to 8,272.66, 12,409.06 and 3,011.40 is: 4,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.66 : 12,409.06 = 3,011.40 : x
  2. Step 2: Convert to fraction form
    8,272.66/12,409.06 = 3,011.40/x
  3. Step 3: Cross multiply
    8,272.66x = 12,409.06 × 3,011.40
  4. Step 4: Simplify right side
    8,272.66x = 37,368,643.28
  5. Step 5: Solve for x
    x = 37,368,643.28/8,272.66
  6. Step 6: Final answer
    x = 4,517.13

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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.