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Finding the Fourth Proportional to 4,993.72, 7,489.80 and 1,915

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Solution

The fourth proportional to 4,993.72, 7,489.80 and 1,915 is: 2,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.72 : 7,489.80 = 1,915 : x
  2. Step 2: Convert to fraction form
    4,993.72/7,489.80 = 1,915/x
  3. Step 3: Cross multiply
    4,993.72x = 7,489.80 × 1,915
  4. Step 4: Simplify right side
    4,993.72x = 14,342,967
  5. Step 5: Solve for x
    x = 14,342,967/4,993.72
  6. Step 6: Final answer
    x = 2,872.20

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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.