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Finding the Fourth Proportional to 20,293, 30,439.51 and 6,442

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Solution

The fourth proportional to 20,293, 30,439.51 and 6,442 is: 9,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293 : 30,439.51 = 6,442 : x
  2. Step 2: Convert to fraction form
    20,293/30,439.51 = 6,442/x
  3. Step 3: Cross multiply
    20,293x = 30,439.51 × 6,442
  4. Step 4: Simplify right side
    20,293x = 196,091,323.42
  5. Step 5: Solve for x
    x = 196,091,323.42/20,293
  6. Step 6: Final answer
    x = 9,663.00

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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.