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Finding the Fourth Proportional to 12,411.56, 17,127.86 and 6,822.44

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Solution

The fourth proportional to 12,411.56, 17,127.86 and 6,822.44 is: 9,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.56 : 17,127.86 = 6,822.44 : x
  2. Step 2: Convert to fraction form
    12,411.56/17,127.86 = 6,822.44/x
  3. Step 3: Cross multiply
    12,411.56x = 17,127.86 × 6,822.44
  4. Step 4: Simplify right side
    12,411.56x = 116,853,797.18
  5. Step 5: Solve for x
    x = 116,853,797.18/12,411.56
  6. Step 6: Final answer
    x = 9,414.92

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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.