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Finding the Fourth Proportional to 4,269.80, 6,404.16 and 1,348.40

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Solution

The fourth proportional to 4,269.80, 6,404.16 and 1,348.40 is: 2,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.80 : 6,404.16 = 1,348.40 : x
  2. Step 2: Convert to fraction form
    4,269.80/6,404.16 = 1,348.40/x
  3. Step 3: Cross multiply
    4,269.80x = 6,404.16 × 1,348.40
  4. Step 4: Simplify right side
    4,269.80x = 8,635,369.34
  5. Step 5: Solve for x
    x = 8,635,369.34/4,269.80
  6. Step 6: Final answer
    x = 2,022.43

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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.