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Finding the Fourth Proportional to 2,679.14, 4,019.32 and 947.78

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Solution

The fourth proportional to 2,679.14, 4,019.32 and 947.78 is: 1,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.14 : 4,019.32 = 947.78 : x
  2. Step 2: Convert to fraction form
    2,679.14/4,019.32 = 947.78/x
  3. Step 3: Cross multiply
    2,679.14x = 4,019.32 × 947.78
  4. Step 4: Simplify right side
    2,679.14x = 3,809,431.11
  5. Step 5: Solve for x
    x = 3,809,431.11/2,679.14
  6. Step 6: Final answer
    x = 1,421.89

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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.