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Finding the Fourth Proportional to 7,641.92, 11,473.50 and 3,946.88

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Solution

The fourth proportional to 7,641.92, 11,473.50 and 3,946.88 is: 5,925.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.92 : 11,473.50 = 3,946.88 : x
  2. Step 2: Convert to fraction form
    7,641.92/11,473.50 = 3,946.88/x
  3. Step 3: Cross multiply
    7,641.92x = 11,473.50 × 3,946.88
  4. Step 4: Simplify right side
    7,641.92x = 45,284,527.68
  5. Step 5: Solve for x
    x = 45,284,527.68/7,641.92
  6. Step 6: Final answer
    x = 5,925.80

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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.