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Finding the Fourth Proportional to 7,756, 10,699.68 and 4,922.08

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Solution

The fourth proportional to 7,756, 10,699.68 and 4,922.08 is: 6,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756 : 10,699.68 = 4,922.08 : x
  2. Step 2: Convert to fraction form
    7,756/10,699.68 = 4,922.08/x
  3. Step 3: Cross multiply
    7,756x = 10,699.68 × 4,922.08
  4. Step 4: Simplify right side
    7,756x = 52,664,680.93
  5. Step 5: Solve for x
    x = 52,664,680.93/7,756
  6. Step 6: Final answer
    x = 6,790.19

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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.