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Finding the Fourth Proportional to 4,987.74, 6,883 and 2,749.61

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Solution

The fourth proportional to 4,987.74, 6,883 and 2,749.61 is: 3,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.74 : 6,883 = 2,749.61 : x
  2. Step 2: Convert to fraction form
    4,987.74/6,883 = 2,749.61/x
  3. Step 3: Cross multiply
    4,987.74x = 6,883 × 2,749.61
  4. Step 4: Simplify right side
    4,987.74x = 18,925,565.63
  5. Step 5: Solve for x
    x = 18,925,565.63/4,987.74
  6. Step 6: Final answer
    x = 3,794.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.