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Finding the Fourth Proportional to 20,345.92, 30,518.88 and 6,496

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Solution

The fourth proportional to 20,345.92, 30,518.88 and 6,496 is: 9,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,345.92 : 30,518.88 = 6,496 : x
  2. Step 2: Convert to fraction form
    20,345.92/30,518.88 = 6,496/x
  3. Step 3: Cross multiply
    20,345.92x = 30,518.88 × 6,496
  4. Step 4: Simplify right side
    20,345.92x = 198,250,644.48
  5. Step 5: Solve for x
    x = 198,250,644.48/20,345.92
  6. Step 6: Final answer
    x = 9,744.00

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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.