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Finding the Fourth Proportional to 2,147.16, 3,221 and 686.28

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Solution

The fourth proportional to 2,147.16, 3,221 and 686.28 is: 1,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.16 : 3,221 = 686.28 : x
  2. Step 2: Convert to fraction form
    2,147.16/3,221 = 686.28/x
  3. Step 3: Cross multiply
    2,147.16x = 3,221 × 686.28
  4. Step 4: Simplify right side
    2,147.16x = 2,210,507.88
  5. Step 5: Solve for x
    x = 2,210,507.88/2,147.16
  6. Step 6: Final answer
    x = 1,029.50

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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.