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Finding the Fourth Proportional to 7,778.19, 11,661.78 and 3,613.77

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Solution

The fourth proportional to 7,778.19, 11,661.78 and 3,613.77 is: 5,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.19 : 11,661.78 = 3,613.77 : x
  2. Step 2: Convert to fraction form
    7,778.19/11,661.78 = 3,613.77/x
  3. Step 3: Cross multiply
    7,778.19x = 11,661.78 × 3,613.77
  4. Step 4: Simplify right side
    7,778.19x = 42,142,990.71
  5. Step 5: Solve for x
    x = 42,142,990.71/7,778.19
  6. Step 6: Final answer
    x = 5,418.10

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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.