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Finding the Fourth Proportional to 22,296.78, 30,769.80 and 12,737.93

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Solution

The fourth proportional to 22,296.78, 30,769.80 and 12,737.93 is: 17,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.78 : 30,769.80 = 12,737.93 : x
  2. Step 2: Convert to fraction form
    22,296.78/30,769.80 = 12,737.93/x
  3. Step 3: Cross multiply
    22,296.78x = 30,769.80 × 12,737.93
  4. Step 4: Simplify right side
    22,296.78x = 391,943,449.74
  5. Step 5: Solve for x
    x = 391,943,449.74/22,296.78
  6. Step 6: Final answer
    x = 17,578.48

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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.