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Finding the Fourth Proportional to 4,987, 7,480.86 and 1,909

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Solution

The fourth proportional to 4,987, 7,480.86 and 1,909 is: 2,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987 : 7,480.86 = 1,909 : x
  2. Step 2: Convert to fraction form
    4,987/7,480.86 = 1,909/x
  3. Step 3: Cross multiply
    4,987x = 7,480.86 × 1,909
  4. Step 4: Simplify right side
    4,987x = 14,280,961.74
  5. Step 5: Solve for x
    x = 14,280,961.74/4,987
  6. Step 6: Final answer
    x = 2,863.64

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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.