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Finding the Fourth Proportional to 2,107.53, 3,162.71 and 874.94

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Solution

The fourth proportional to 2,107.53, 3,162.71 and 874.94 is: 1,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.53 : 3,162.71 = 874.94 : x
  2. Step 2: Convert to fraction form
    2,107.53/3,162.71 = 874.94/x
  3. Step 3: Cross multiply
    2,107.53x = 3,162.71 × 874.94
  4. Step 4: Simplify right side
    2,107.53x = 2,767,195.87
  5. Step 5: Solve for x
    x = 2,767,195.87/2,107.53
  6. Step 6: Final answer
    x = 1,313.00

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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.