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Finding the Fourth Proportional to 18,657, 27,993.60 and 9,306.36

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Solution

The fourth proportional to 18,657, 27,993.60 and 9,306.36 is: 13,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 27,993.60 = 9,306.36 : x
  2. Step 2: Convert to fraction form
    18,657/27,993.60 = 9,306.36/x
  3. Step 3: Cross multiply
    18,657x = 27,993.60 × 9,306.36
  4. Step 4: Simplify right side
    18,657x = 260,518,519.30
  5. Step 5: Solve for x
    x = 260,518,519.30/18,657
  6. Step 6: Final answer
    x = 13,963.58

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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.