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Finding the Fourth Proportional to 28,176, 42,257.15 and 9,451.18

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Solution

The fourth proportional to 28,176, 42,257.15 and 9,451.18 is: 14,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176 : 42,257.15 = 9,451.18 : x
  2. Step 2: Convert to fraction form
    28,176/42,257.15 = 9,451.18/x
  3. Step 3: Cross multiply
    28,176x = 42,257.15 × 9,451.18
  4. Step 4: Simplify right side
    28,176x = 399,379,930.94
  5. Step 5: Solve for x
    x = 399,379,930.94/28,176
  6. Step 6: Final answer
    x = 14,174.47

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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.