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Finding the Fourth Proportional to 2,173.18, 2,998.46 and 1,229

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Solution

The fourth proportional to 2,173.18, 2,998.46 and 1,229 is: 1,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.18 : 2,998.46 = 1,229 : x
  2. Step 2: Convert to fraction form
    2,173.18/2,998.46 = 1,229/x
  3. Step 3: Cross multiply
    2,173.18x = 2,998.46 × 1,229
  4. Step 4: Simplify right side
    2,173.18x = 3,685,107.34
  5. Step 5: Solve for x
    x = 3,685,107.34/2,173.18
  6. Step 6: Final answer
    x = 1,695.72

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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.