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Finding the Fourth Proportional to 2,110.68, 2,912.88 and 1,227

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Solution

The fourth proportional to 2,110.68, 2,912.88 and 1,227 is: 1,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.68 : 2,912.88 = 1,227 : x
  2. Step 2: Convert to fraction form
    2,110.68/2,912.88 = 1,227/x
  3. Step 3: Cross multiply
    2,110.68x = 2,912.88 × 1,227
  4. Step 4: Simplify right side
    2,110.68x = 3,574,103.76
  5. Step 5: Solve for x
    x = 3,574,103.76/2,110.68
  6. Step 6: Final answer
    x = 1,693.34

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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.