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Finding the Fourth Proportional to 3,712.80, 5,122.80 and 2,455.68

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Solution

The fourth proportional to 3,712.80, 5,122.80 and 2,455.68 is: 3,388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.80 : 5,122.80 = 2,455.68 : x
  2. Step 2: Convert to fraction form
    3,712.80/5,122.80 = 2,455.68/x
  3. Step 3: Cross multiply
    3,712.80x = 5,122.80 × 2,455.68
  4. Step 4: Simplify right side
    3,712.80x = 12,579,957.50
  5. Step 5: Solve for x
    x = 12,579,957.50/3,712.80
  6. Step 6: Final answer
    x = 3,388.27

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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.