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Finding the Fourth Proportional to 8,272.78, 12,409.14 and 2,116.78

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Solution

The fourth proportional to 8,272.78, 12,409.14 and 2,116.78 is: 3,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.78 : 12,409.14 = 2,116.78 : x
  2. Step 2: Convert to fraction form
    8,272.78/12,409.14 = 2,116.78/x
  3. Step 3: Cross multiply
    8,272.78x = 12,409.14 × 2,116.78
  4. Step 4: Simplify right side
    8,272.78x = 26,267,419.37
  5. Step 5: Solve for x
    x = 26,267,419.37/8,272.78
  6. Step 6: Final answer
    x = 3,175.16

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1.5x scale

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.