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Finding the Fourth Proportional to 5,230.79, 7,846.17 and 1,335.19

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Solution

The fourth proportional to 5,230.79, 7,846.17 and 1,335.19 is: 2,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.79 : 7,846.17 = 1,335.19 : x
  2. Step 2: Convert to fraction form
    5,230.79/7,846.17 = 1,335.19/x
  3. Step 3: Cross multiply
    5,230.79x = 7,846.17 × 1,335.19
  4. Step 4: Simplify right side
    5,230.79x = 10,476,150.68
  5. Step 5: Solve for x
    x = 10,476,150.68/5,230.79
  6. Step 6: Final answer
    x = 2,002.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.