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Finding the Fourth Proportional to 7,003.74, 9,679.10 and 5,742.84

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Solution

The fourth proportional to 7,003.74, 9,679.10 and 5,742.84 is: 7,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.74 : 9,679.10 = 5,742.84 : x
  2. Step 2: Convert to fraction form
    7,003.74/9,679.10 = 5,742.84/x
  3. Step 3: Cross multiply
    7,003.74x = 9,679.10 × 5,742.84
  4. Step 4: Simplify right side
    7,003.74x = 55,585,493.93
  5. Step 5: Solve for x
    x = 55,585,493.93/7,003.74
  6. Step 6: Final answer
    x = 7,936.54

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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.