Home / 1,568.57-2,165.09-971.37

Finding the Fourth Proportional to 1,568.57, 2,165.09 and 971.37

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Solution

The fourth proportional to 1,568.57, 2,165.09 and 971.37 is: 1,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.57 : 2,165.09 = 971.37 : x
  2. Step 2: Convert to fraction form
    1,568.57/2,165.09 = 971.37/x
  3. Step 3: Cross multiply
    1,568.57x = 2,165.09 × 971.37
  4. Step 4: Simplify right side
    1,568.57x = 2,103,098.62
  5. Step 5: Solve for x
    x = 2,103,098.62/1,568.57
  6. Step 6: Final answer
    x = 1,340.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.