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Finding the Fourth Proportional to 3,578.78, 4,941 and 2,917.20

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Solution

The fourth proportional to 3,578.78, 4,941 and 2,917.20 is: 4,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.78 : 4,941 = 2,917.20 : x
  2. Step 2: Convert to fraction form
    3,578.78/4,941 = 2,917.20/x
  3. Step 3: Cross multiply
    3,578.78x = 4,941 × 2,917.20
  4. Step 4: Simplify right side
    3,578.78x = 14,413,885.20
  5. Step 5: Solve for x
    x = 14,413,885.20/3,578.78
  6. Step 6: Final answer
    x = 4,027.60

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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.