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Finding the Fourth Proportional to 7,778.85, 11,665.88 and 2,230.71

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Solution

The fourth proportional to 7,778.85, 11,665.88 and 2,230.71 is: 3,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.85 : 11,665.88 = 2,230.71 : x
  2. Step 2: Convert to fraction form
    7,778.85/11,665.88 = 2,230.71/x
  3. Step 3: Cross multiply
    7,778.85x = 11,665.88 × 2,230.71
  4. Step 4: Simplify right side
    7,778.85x = 26,023,184.02
  5. Step 5: Solve for x
    x = 26,023,184.02/7,778.85
  6. Step 6: Final answer
    x = 3,345.38

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Double scale
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Similar ratio
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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.