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Finding the Fourth Proportional to 18,657.10, 27,968.05 and 9,288.25

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Solution

The fourth proportional to 18,657.10, 27,968.05 and 9,288.25 is: 13,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.10 : 27,968.05 = 9,288.25 : x
  2. Step 2: Convert to fraction form
    18,657.10/27,968.05 = 9,288.25/x
  3. Step 3: Cross multiply
    18,657.10x = 27,968.05 × 9,288.25
  4. Step 4: Simplify right side
    18,657.10x = 259,774,240.41
  5. Step 5: Solve for x
    x = 259,774,240.41/18,657.10
  6. Step 6: Final answer
    x = 13,923.61

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1.5x scale

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.