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Finding the Fourth Proportional to 3,407.92, 5,113.49 and 1,433.98

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Solution

The fourth proportional to 3,407.92, 5,113.49 and 1,433.98 is: 2,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.92 : 5,113.49 = 1,433.98 : x
  2. Step 2: Convert to fraction form
    3,407.92/5,113.49 = 1,433.98/x
  3. Step 3: Cross multiply
    3,407.92x = 5,113.49 × 1,433.98
  4. Step 4: Simplify right side
    3,407.92x = 7,332,642.39
  5. Step 5: Solve for x
    x = 7,332,642.39/3,407.92
  6. Step 6: Final answer
    x = 2,151.65

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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.