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Finding the Fourth Proportional to 18,444, 27,677.34 and 9,685.20

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Solution

The fourth proportional to 18,444, 27,677.34 and 9,685.20 is: 14,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,444 : 27,677.34 = 9,685.20 : x
  2. Step 2: Convert to fraction form
    18,444/27,677.34 = 9,685.20/x
  3. Step 3: Cross multiply
    18,444x = 27,677.34 × 9,685.20
  4. Step 4: Simplify right side
    18,444x = 268,060,573.37
  5. Step 5: Solve for x
    x = 268,060,573.37/18,444
  6. Step 6: Final answer
    x = 14,533.75

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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.