Home / 1,537.08-2,121.17-838.46

Finding the Fourth Proportional to 1,537.08, 2,121.17 and 838.46

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Solution

The fourth proportional to 1,537.08, 2,121.17 and 838.46 is: 1,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.08 : 2,121.17 = 838.46 : x
  2. Step 2: Convert to fraction form
    1,537.08/2,121.17 = 838.46/x
  3. Step 3: Cross multiply
    1,537.08x = 2,121.17 × 838.46
  4. Step 4: Simplify right side
    1,537.08x = 1,778,507.69
  5. Step 5: Solve for x
    x = 1,778,507.69/1,537.08
  6. Step 6: Final answer
    x = 1,157.07

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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.