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Finding the Fourth Proportional to 2,270, 3,129.68 and 1,679.52

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Solution

The fourth proportional to 2,270, 3,129.68 and 1,679.52 is: 2,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 3,129.68 = 1,679.52 : x
  2. Step 2: Convert to fraction form
    2,270/3,129.68 = 1,679.52/x
  3. Step 3: Cross multiply
    2,270x = 3,129.68 × 1,679.52
  4. Step 4: Simplify right side
    2,270x = 5,256,360.15
  5. Step 5: Solve for x
    x = 5,256,360.15/2,270
  6. Step 6: Final answer
    x = 2,315.58

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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.