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Finding the Fourth Proportional to 1,942.10, 2,913.11 and 709.18

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Solution

The fourth proportional to 1,942.10, 2,913.11 and 709.18 is: 1,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.10 : 2,913.11 = 709.18 : x
  2. Step 2: Convert to fraction form
    1,942.10/2,913.11 = 709.18/x
  3. Step 3: Cross multiply
    1,942.10x = 2,913.11 × 709.18
  4. Step 4: Simplify right side
    1,942.10x = 2,065,923.36
  5. Step 5: Solve for x
    x = 2,065,923.36/1,942.10
  6. Step 6: Final answer
    x = 1,063.76

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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.