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Finding the Fourth Proportional to 2,794.40, 4,191.47 and 1,039.40

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Solution

The fourth proportional to 2,794.40, 4,191.47 and 1,039.40 is: 1,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.40 : 4,191.47 = 1,039.40 : x
  2. Step 2: Convert to fraction form
    2,794.40/4,191.47 = 1,039.40/x
  3. Step 3: Cross multiply
    2,794.40x = 4,191.47 × 1,039.40
  4. Step 4: Simplify right side
    2,794.40x = 4,356,608.72
  5. Step 5: Solve for x
    x = 4,356,608.72/2,794.40
  6. Step 6: Final answer
    x = 1,559.05

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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.