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Finding the Fourth Proportional to 7,776.60, 10,731.99 and 4,419.97

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Solution

The fourth proportional to 7,776.60, 10,731.99 and 4,419.97 is: 6,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.60 : 10,731.99 = 4,419.97 : x
  2. Step 2: Convert to fraction form
    7,776.60/10,731.99 = 4,419.97/x
  3. Step 3: Cross multiply
    7,776.60x = 10,731.99 × 4,419.97
  4. Step 4: Simplify right side
    7,776.60x = 47,435,073.84
  5. Step 5: Solve for x
    x = 47,435,073.84/7,776.60
  6. Step 6: Final answer
    x = 6,099.72

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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.