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Finding the Fourth Proportional to 18,461, 27,691.38 and 4,610

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Solution

The fourth proportional to 18,461, 27,691.38 and 4,610 is: 6,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461 : 27,691.38 = 4,610 : x
  2. Step 2: Convert to fraction form
    18,461/27,691.38 = 4,610/x
  3. Step 3: Cross multiply
    18,461x = 27,691.38 × 4,610
  4. Step 4: Simplify right side
    18,461x = 127,657,261.80
  5. Step 5: Solve for x
    x = 127,657,261.80/18,461
  6. Step 6: Final answer
    x = 6,914.97

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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.