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Finding the Fourth Proportional to 2,388.12, 3,582.12 and 2,261.76

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Solution

The fourth proportional to 2,388.12, 3,582.12 and 2,261.76 is: 3,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.12 : 3,582.12 = 2,261.76 : x
  2. Step 2: Convert to fraction form
    2,388.12/3,582.12 = 2,261.76/x
  3. Step 3: Cross multiply
    2,388.12x = 3,582.12 × 2,261.76
  4. Step 4: Simplify right side
    2,388.12x = 8,101,895.73
  5. Step 5: Solve for x
    x = 8,101,895.73/2,388.12
  6. Step 6: Final answer
    x = 3,392.58

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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.