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Finding the Fourth Proportional to 7,951.95, 10,975.10 and 5,945.43

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Solution

The fourth proportional to 7,951.95, 10,975.10 and 5,945.43 is: 8,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.95 : 10,975.10 = 5,945.43 : x
  2. Step 2: Convert to fraction form
    7,951.95/10,975.10 = 5,945.43/x
  3. Step 3: Cross multiply
    7,951.95x = 10,975.10 × 5,945.43
  4. Step 4: Simplify right side
    7,951.95x = 65,251,607.62
  5. Step 5: Solve for x
    x = 65,251,607.62/7,951.95
  6. Step 6: Final answer
    x = 8,205.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.