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Finding the Fourth Proportional to 25,894.80, 38,843.01 and 8,364.78

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Solution

The fourth proportional to 25,894.80, 38,843.01 and 8,364.78 is: 12,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.80 : 38,843.01 = 8,364.78 : x
  2. Step 2: Convert to fraction form
    25,894.80/38,843.01 = 8,364.78/x
  3. Step 3: Cross multiply
    25,894.80x = 38,843.01 × 8,364.78
  4. Step 4: Simplify right side
    25,894.80x = 324,913,233.19
  5. Step 5: Solve for x
    x = 324,913,233.19/25,894.80
  6. Step 6: Final answer
    x = 12,547.43

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1.5x scale

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.