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Finding the Fourth Proportional to 4,142.40, 6,206.40 and 3,494.40

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Solution

The fourth proportional to 4,142.40, 6,206.40 and 3,494.40 is: 5,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.40 : 6,206.40 = 3,494.40 : x
  2. Step 2: Convert to fraction form
    4,142.40/6,206.40 = 3,494.40/x
  3. Step 3: Cross multiply
    4,142.40x = 6,206.40 × 3,494.40
  4. Step 4: Simplify right side
    4,142.40x = 21,687,644.16
  5. Step 5: Solve for x
    x = 21,687,644.16/4,142.40
  6. Step 6: Final answer
    x = 5,235.53

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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.