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Finding the Fourth Proportional to 20,574.92, 30,862.43 and 7,436.57

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Solution

The fourth proportional to 20,574.92, 30,862.43 and 7,436.57 is: 11,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.92 : 30,862.43 = 7,436.57 : x
  2. Step 2: Convert to fraction form
    20,574.92/30,862.43 = 7,436.57/x
  3. Step 3: Cross multiply
    20,574.92x = 30,862.43 × 7,436.57
  4. Step 4: Simplify right side
    20,574.92x = 229,510,621.07
  5. Step 5: Solve for x
    x = 229,510,621.07/20,574.92
  6. Step 6: Final answer
    x = 11,154.87

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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.