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Finding the Fourth Proportional to 2,330.75, 3,216.50 and 1,282.88

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Solution

The fourth proportional to 2,330.75, 3,216.50 and 1,282.88 is: 1,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.75 : 3,216.50 = 1,282.88 : x
  2. Step 2: Convert to fraction form
    2,330.75/3,216.50 = 1,282.88/x
  3. Step 3: Cross multiply
    2,330.75x = 3,216.50 × 1,282.88
  4. Step 4: Simplify right side
    2,330.75x = 4,126,383.52
  5. Step 5: Solve for x
    x = 4,126,383.52/2,330.75
  6. Step 6: Final answer
    x = 1,770.41

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Double scale
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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.