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Finding the Fourth Proportional to 2,667.78, 4,000.23 and 1,419.03

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Solution

The fourth proportional to 2,667.78, 4,000.23 and 1,419.03 is: 2,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.78 : 4,000.23 = 1,419.03 : x
  2. Step 2: Convert to fraction form
    2,667.78/4,000.23 = 1,419.03/x
  3. Step 3: Cross multiply
    2,667.78x = 4,000.23 × 1,419.03
  4. Step 4: Simplify right side
    2,667.78x = 5,676,446.38
  5. Step 5: Solve for x
    x = 5,676,446.38/2,667.78
  6. Step 6: Final answer
    x = 2,127.78

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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.