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Finding the Fourth Proportional to 7,767.90, 10,719.97 and 4,410.86

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Solution

The fourth proportional to 7,767.90, 10,719.97 and 4,410.86 is: 6,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.90 : 10,719.97 = 4,410.86 : x
  2. Step 2: Convert to fraction form
    7,767.90/10,719.97 = 4,410.86/x
  3. Step 3: Cross multiply
    7,767.90x = 10,719.97 × 4,410.86
  4. Step 4: Simplify right side
    7,767.90x = 47,284,222.25
  5. Step 5: Solve for x
    x = 47,284,222.25/7,767.90
  6. Step 6: Final answer
    x = 6,087.13

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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.