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Finding the Fourth Proportional to 5,064.78, 6,987 and 3,295.74

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Solution

The fourth proportional to 5,064.78, 6,987 and 3,295.74 is: 4,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.78 : 6,987 = 3,295.74 : x
  2. Step 2: Convert to fraction form
    5,064.78/6,987 = 3,295.74/x
  3. Step 3: Cross multiply
    5,064.78x = 6,987 × 3,295.74
  4. Step 4: Simplify right side
    5,064.78x = 23,027,335.38
  5. Step 5: Solve for x
    x = 23,027,335.38/5,064.78
  6. Step 6: Final answer
    x = 4,546.56

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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.