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Finding the Fourth Proportional to 8,980, 12,393.86 and 5,204.86

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Solution

The fourth proportional to 8,980, 12,393.86 and 5,204.86 is: 7,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980 : 12,393.86 = 5,204.86 : x
  2. Step 2: Convert to fraction form
    8,980/12,393.86 = 5,204.86/x
  3. Step 3: Cross multiply
    8,980x = 12,393.86 × 5,204.86
  4. Step 4: Simplify right side
    8,980x = 64,508,306.16
  5. Step 5: Solve for x
    x = 64,508,306.16/8,980
  6. Step 6: Final answer
    x = 7,183.55

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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.