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Finding the Fourth Proportional to 20,497.92, 30,746.88 and 6,647.04

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Solution

The fourth proportional to 20,497.92, 30,746.88 and 6,647.04 is: 9,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.92 : 30,746.88 = 6,647.04 : x
  2. Step 2: Convert to fraction form
    20,497.92/30,746.88 = 6,647.04/x
  3. Step 3: Cross multiply
    20,497.92x = 30,746.88 × 6,647.04
  4. Step 4: Simplify right side
    20,497.92x = 204,375,741.24
  5. Step 5: Solve for x
    x = 204,375,741.24/20,497.92
  6. Step 6: Final answer
    x = 9,970.56

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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.