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Finding the Fourth Proportional to 7,770, 10,722.66 and 4,626

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Solution

The fourth proportional to 7,770, 10,722.66 and 4,626 is: 6,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770 : 10,722.66 = 4,626 : x
  2. Step 2: Convert to fraction form
    7,770/10,722.66 = 4,626/x
  3. Step 3: Cross multiply
    7,770x = 10,722.66 × 4,626
  4. Step 4: Simplify right side
    7,770x = 49,603,025.16
  5. Step 5: Solve for x
    x = 49,603,025.16/7,770
  6. Step 6: Final answer
    x = 6,383.92

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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.