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Finding the Fourth Proportional to 3,407.95, 5,113.59 and 1,947.52

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Solution

The fourth proportional to 3,407.95, 5,113.59 and 1,947.52 is: 2,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.95 : 5,113.59 = 1,947.52 : x
  2. Step 2: Convert to fraction form
    3,407.95/5,113.59 = 1,947.52/x
  3. Step 3: Cross multiply
    3,407.95x = 5,113.59 × 1,947.52
  4. Step 4: Simplify right side
    3,407.95x = 9,958,818.80
  5. Step 5: Solve for x
    x = 9,958,818.80/3,407.95
  6. Step 6: Final answer
    x = 2,922.23

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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.