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Finding the Fourth Proportional to 25,959.84, 38,922.72 and 12,820.80

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Solution

The fourth proportional to 25,959.84, 38,922.72 and 12,820.80 is: 19,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,959.84 : 38,922.72 = 12,820.80 : x
  2. Step 2: Convert to fraction form
    25,959.84/38,922.72 = 12,820.80/x
  3. Step 3: Cross multiply
    25,959.84x = 38,922.72 × 12,820.80
  4. Step 4: Simplify right side
    25,959.84x = 499,020,408.58
  5. Step 5: Solve for x
    x = 499,020,408.58/25,959.84
  6. Step 6: Final answer
    x = 19,222.78

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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.