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Finding the Fourth Proportional to 3,403.92, 4,697.46 and 1,988.46

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Solution

The fourth proportional to 3,403.92, 4,697.46 and 1,988.46 is: 2,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.92 : 4,697.46 = 1,988.46 : x
  2. Step 2: Convert to fraction form
    3,403.92/4,697.46 = 1,988.46/x
  3. Step 3: Cross multiply
    3,403.92x = 4,697.46 × 1,988.46
  4. Step 4: Simplify right side
    3,403.92x = 9,340,711.31
  5. Step 5: Solve for x
    x = 9,340,711.31/3,403.92
  6. Step 6: Final answer
    x = 2,744.10

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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.