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Finding the Fourth Proportional to 3,494.40, 5,222.40 and 3,148.80

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Solution

The fourth proportional to 3,494.40, 5,222.40 and 3,148.80 is: 4,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.40 : 5,222.40 = 3,148.80 : x
  2. Step 2: Convert to fraction form
    3,494.40/5,222.40 = 3,148.80/x
  3. Step 3: Cross multiply
    3,494.40x = 5,222.40 × 3,148.80
  4. Step 4: Simplify right side
    3,494.40x = 16,444,293.12
  5. Step 5: Solve for x
    x = 16,444,293.12/3,494.40
  6. Step 6: Final answer
    x = 4,705.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.