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Finding the Fourth Proportional to 1,775.92, 2,451 and 1,216.96

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Solution

The fourth proportional to 1,775.92, 2,451 and 1,216.96 is: 1,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.92 : 2,451 = 1,216.96 : x
  2. Step 2: Convert to fraction form
    1,775.92/2,451 = 1,216.96/x
  3. Step 3: Cross multiply
    1,775.92x = 2,451 × 1,216.96
  4. Step 4: Simplify right side
    1,775.92x = 2,982,768.96
  5. Step 5: Solve for x
    x = 2,982,768.96/1,775.92
  6. Step 6: Final answer
    x = 1,679.56

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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.