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Finding the Fourth Proportional to 20,574.68, 30,878.15 and 10,578.96

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Solution

The fourth proportional to 20,574.68, 30,878.15 and 10,578.96 is: 15,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.68 : 30,878.15 = 10,578.96 : x
  2. Step 2: Convert to fraction form
    20,574.68/30,878.15 = 10,578.96/x
  3. Step 3: Cross multiply
    20,574.68x = 30,878.15 × 10,578.96
  4. Step 4: Simplify right side
    20,574.68x = 326,658,660.83
  5. Step 5: Solve for x
    x = 326,658,660.83/20,574.68
  6. Step 6: Final answer
    x = 15,876.73

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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.