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Finding the Fourth Proportional to 13,778.70, 18,997 and 8,924.86

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Solution

The fourth proportional to 13,778.70, 18,997 and 8,924.86 is: 12,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.70 : 18,997 = 8,924.86 : x
  2. Step 2: Convert to fraction form
    13,778.70/18,997 = 8,924.86/x
  3. Step 3: Cross multiply
    13,778.70x = 18,997 × 8,924.86
  4. Step 4: Simplify right side
    13,778.70x = 169,545,565.42
  5. Step 5: Solve for x
    x = 169,545,565.42/13,778.70
  6. Step 6: Final answer
    x = 12,304.90

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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.