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Finding the Fourth Proportional to 12,471.86, 17,211.18 and 6,882.86

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Solution

The fourth proportional to 12,471.86, 17,211.18 and 6,882.86 is: 9,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.86 : 17,211.18 = 6,882.86 : x
  2. Step 2: Convert to fraction form
    12,471.86/17,211.18 = 6,882.86/x
  3. Step 3: Cross multiply
    12,471.86x = 17,211.18 × 6,882.86
  4. Step 4: Simplify right side
    12,471.86x = 118,462,142.37
  5. Step 5: Solve for x
    x = 118,462,142.37/12,471.86
  6. Step 6: Final answer
    x = 9,498.35

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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.