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Finding the Fourth Proportional to 2,717.60, 4,078.80 and 2,328.80

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Solution

The fourth proportional to 2,717.60, 4,078.80 and 2,328.80 is: 3,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.60 : 4,078.80 = 2,328.80 : x
  2. Step 2: Convert to fraction form
    2,717.60/4,078.80 = 2,328.80/x
  3. Step 3: Cross multiply
    2,717.60x = 4,078.80 × 2,328.80
  4. Step 4: Simplify right side
    2,717.60x = 9,498,709.44
  5. Step 5: Solve for x
    x = 9,498,709.44/2,717.60
  6. Step 6: Final answer
    x = 3,495.26

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1.5x scale

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.