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Finding the Fourth Proportional to 7,729.08, 10,740.12 and 7,648.80

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Solution

The fourth proportional to 7,729.08, 10,740.12 and 7,648.80 is: 10,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.08 : 10,740.12 = 7,648.80 : x
  2. Step 2: Convert to fraction form
    7,729.08/10,740.12 = 7,648.80/x
  3. Step 3: Cross multiply
    7,729.08x = 10,740.12 × 7,648.80
  4. Step 4: Simplify right side
    7,729.08x = 82,149,029.86
  5. Step 5: Solve for x
    x = 82,149,029.86/7,729.08
  6. Step 6: Final answer
    x = 10,628.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.