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Finding the Fourth Proportional to 7,778.81, 10,648.87 and 7,723.23

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Solution

The fourth proportional to 7,778.81, 10,648.87 and 7,723.23 is: 10,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.81 : 10,648.87 = 7,723.23 : x
  2. Step 2: Convert to fraction form
    7,778.81/10,648.87 = 7,723.23/x
  3. Step 3: Cross multiply
    7,778.81x = 10,648.87 × 7,723.23
  4. Step 4: Simplify right side
    7,778.81x = 82,243,672.25
  5. Step 5: Solve for x
    x = 82,243,672.25/7,778.81
  6. Step 6: Final answer
    x = 10,572.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.