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Finding the Fourth Proportional to 12,691.96, 17,521.26 and 7,978.84

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Solution

The fourth proportional to 12,691.96, 17,521.26 and 7,978.84 is: 11,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.96 : 17,521.26 = 7,978.84 : x
  2. Step 2: Convert to fraction form
    12,691.96/17,521.26 = 7,978.84/x
  3. Step 3: Cross multiply
    12,691.96x = 17,521.26 × 7,978.84
  4. Step 4: Simplify right side
    12,691.96x = 139,799,330.14
  5. Step 5: Solve for x
    x = 139,799,330.14/12,691.96
  6. Step 6: Final answer
    x = 11,014.79

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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.