Home / 1,537.26-2,120.81-864.91

Finding the Fourth Proportional to 1,537.26, 2,120.81 and 864.91

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Solution

The fourth proportional to 1,537.26, 2,120.81 and 864.91 is: 1,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.26 : 2,120.81 = 864.91 : x
  2. Step 2: Convert to fraction form
    1,537.26/2,120.81 = 864.91/x
  3. Step 3: Cross multiply
    1,537.26x = 2,120.81 × 864.91
  4. Step 4: Simplify right side
    1,537.26x = 1,834,309.78
  5. Step 5: Solve for x
    x = 1,834,309.78/1,537.26
  6. Step 6: Final answer
    x = 1,193.23

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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.