Home / 1,380.37-2,071.14-731.14

Finding the Fourth Proportional to 1,380.37, 2,071.14 and 731.14

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Solution

The fourth proportional to 1,380.37, 2,071.14 and 731.14 is: 1,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.37 : 2,071.14 = 731.14 : x
  2. Step 2: Convert to fraction form
    1,380.37/2,071.14 = 731.14/x
  3. Step 3: Cross multiply
    1,380.37x = 2,071.14 × 731.14
  4. Step 4: Simplify right side
    1,380.37x = 1,514,293.30
  5. Step 5: Solve for x
    x = 1,514,293.30/1,380.37
  6. Step 6: Final answer
    x = 1,097.02

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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.