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Finding the Fourth Proportional to 3,494.80, 5,240.40 and 1,302.40

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Solution

The fourth proportional to 3,494.80, 5,240.40 and 1,302.40 is: 1,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.80 : 5,240.40 = 1,302.40 : x
  2. Step 2: Convert to fraction form
    3,494.80/5,240.40 = 1,302.40/x
  3. Step 3: Cross multiply
    3,494.80x = 5,240.40 × 1,302.40
  4. Step 4: Simplify right side
    3,494.80x = 6,825,096.96
  5. Step 5: Solve for x
    x = 6,825,096.96/3,494.80
  6. Step 6: Final answer
    x = 1,952.93

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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.