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Finding the Fourth Proportional to 7,761, 10,710.82 and 4,449.64

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Solution

The fourth proportional to 7,761, 10,710.82 and 4,449.64 is: 6,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761 : 10,710.82 = 4,449.64 : x
  2. Step 2: Convert to fraction form
    7,761/10,710.82 = 4,449.64/x
  3. Step 3: Cross multiply
    7,761x = 10,710.82 × 4,449.64
  4. Step 4: Simplify right side
    7,761x = 47,659,293.10
  5. Step 5: Solve for x
    x = 47,659,293.10/7,761
  6. Step 6: Final answer
    x = 6,140.87

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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.