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Finding the Fourth Proportional to 16,293.60, 22,472.64 and 10,980

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Solution

The fourth proportional to 16,293.60, 22,472.64 and 10,980 is: 15,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,293.60 : 22,472.64 = 10,980 : x
  2. Step 2: Convert to fraction form
    16,293.60/22,472.64 = 10,980/x
  3. Step 3: Cross multiply
    16,293.60x = 22,472.64 × 10,980
  4. Step 4: Simplify right side
    16,293.60x = 246,749,587.20
  5. Step 5: Solve for x
    x = 246,749,587.20/16,293.60
  6. Step 6: Final answer
    x = 15,143.96

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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.