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Finding the Fourth Proportional to 7,776.96, 10,732.19 and 4,419.78

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Solution

The fourth proportional to 7,776.96, 10,732.19 and 4,419.78 is: 6,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.96 : 10,732.19 = 4,419.78 : x
  2. Step 2: Convert to fraction form
    7,776.96/10,732.19 = 4,419.78/x
  3. Step 3: Cross multiply
    7,776.96x = 10,732.19 × 4,419.78
  4. Step 4: Simplify right side
    7,776.96x = 47,433,918.72
  5. Step 5: Solve for x
    x = 47,433,918.72/7,776.96
  6. Step 6: Final answer
    x = 6,099.29

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1.5x scale

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.