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Finding the Fourth Proportional to 2,950, 4,426.08 and 1,002.40

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Solution

The fourth proportional to 2,950, 4,426.08 and 1,002.40 is: 1,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950 : 4,426.08 = 1,002.40 : x
  2. Step 2: Convert to fraction form
    2,950/4,426.08 = 1,002.40/x
  3. Step 3: Cross multiply
    2,950x = 4,426.08 × 1,002.40
  4. Step 4: Simplify right side
    2,950x = 4,436,702.59
  5. Step 5: Solve for x
    x = 4,436,702.59/2,950
  6. Step 6: Final answer
    x = 1,503.97

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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.