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Finding the Fourth Proportional to 28,257.65, 38,995.13 and 16,158

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Solution

The fourth proportional to 28,257.65, 38,995.13 and 16,158 is: 22,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.65 : 38,995.13 = 16,158 : x
  2. Step 2: Convert to fraction form
    28,257.65/38,995.13 = 16,158/x
  3. Step 3: Cross multiply
    28,257.65x = 38,995.13 × 16,158
  4. Step 4: Simplify right side
    28,257.65x = 630,083,229.75
  5. Step 5: Solve for x
    x = 630,083,229.75/28,257.65
  6. Step 6: Final answer
    x = 22,297.80

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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.