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Finding the Fourth Proportional to 3,234, 4,461.80 and 1,817.49

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Solution

The fourth proportional to 3,234, 4,461.80 and 1,817.49 is: 2,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234 : 4,461.80 = 1,817.49 : x
  2. Step 2: Convert to fraction form
    3,234/4,461.80 = 1,817.49/x
  3. Step 3: Cross multiply
    3,234x = 4,461.80 × 1,817.49
  4. Step 4: Simplify right side
    3,234x = 8,109,276.88
  5. Step 5: Solve for x
    x = 8,109,276.88/3,234
  6. Step 6: Final answer
    x = 2,507.51

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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.