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Finding the Fourth Proportional to 2,217.96, 3,326.94 and 678.76

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Solution

The fourth proportional to 2,217.96, 3,326.94 and 678.76 is: 1,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.96 : 3,326.94 = 678.76 : x
  2. Step 2: Convert to fraction form
    2,217.96/3,326.94 = 678.76/x
  3. Step 3: Cross multiply
    2,217.96x = 3,326.94 × 678.76
  4. Step 4: Simplify right side
    2,217.96x = 2,258,193.79
  5. Step 5: Solve for x
    x = 2,258,193.79/2,217.96
  6. Step 6: Final answer
    x = 1,018.14

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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.