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Finding the Fourth Proportional to 9,274.91, 13,981.64 and 8,486.78

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Solution

The fourth proportional to 9,274.91, 13,981.64 and 8,486.78 is: 12,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.91 : 13,981.64 = 8,486.78 : x
  2. Step 2: Convert to fraction form
    9,274.91/13,981.64 = 8,486.78/x
  3. Step 3: Cross multiply
    9,274.91x = 13,981.64 × 8,486.78
  4. Step 4: Simplify right side
    9,274.91x = 118,658,990.38
  5. Step 5: Solve for x
    x = 118,658,990.38/9,274.91
  6. Step 6: Final answer
    x = 12,793.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.