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Finding the Fourth Proportional to 10,657.78, 15,980.54 and 4,079.86

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Solution

The fourth proportional to 10,657.78, 15,980.54 and 4,079.86 is: 6,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.78 : 15,980.54 = 4,079.86 : x
  2. Step 2: Convert to fraction form
    10,657.78/15,980.54 = 4,079.86/x
  3. Step 3: Cross multiply
    10,657.78x = 15,980.54 × 4,079.86
  4. Step 4: Simplify right side
    10,657.78x = 65,198,365.92
  5. Step 5: Solve for x
    x = 65,198,365.92/10,657.78
  6. Step 6: Final answer
    x = 6,117.44

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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.