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Finding the Fourth Proportional to 20,235.92, 30,353.88 and 6,386

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Solution

The fourth proportional to 20,235.92, 30,353.88 and 6,386 is: 9,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.92 : 30,353.88 = 6,386 : x
  2. Step 2: Convert to fraction form
    20,235.92/30,353.88 = 6,386/x
  3. Step 3: Cross multiply
    20,235.92x = 30,353.88 × 6,386
  4. Step 4: Simplify right side
    20,235.92x = 193,839,877.68
  5. Step 5: Solve for x
    x = 193,839,877.68/20,235.92
  6. Step 6: Final answer
    x = 9,579.00

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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.