Home / 1,537.31-2,121.32-874.17

Finding the Fourth Proportional to 1,537.31, 2,121.32 and 874.17

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Solution

The fourth proportional to 1,537.31, 2,121.32 and 874.17 is: 1,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.31 : 2,121.32 = 874.17 : x
  2. Step 2: Convert to fraction form
    1,537.31/2,121.32 = 874.17/x
  3. Step 3: Cross multiply
    1,537.31x = 2,121.32 × 874.17
  4. Step 4: Simplify right side
    1,537.31x = 1,854,396.49
  5. Step 5: Solve for x
    x = 1,854,396.49/1,537.31
  6. Step 6: Final answer
    x = 1,206.26

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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.