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Finding the Fourth Proportional to 28,109.32, 42,163.98 and 9,641.48

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Solution

The fourth proportional to 28,109.32, 42,163.98 and 9,641.48 is: 14,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,109.32 : 42,163.98 = 9,641.48 : x
  2. Step 2: Convert to fraction form
    28,109.32/42,163.98 = 9,641.48/x
  3. Step 3: Cross multiply
    28,109.32x = 42,163.98 × 9,641.48
  4. Step 4: Simplify right side
    28,109.32x = 406,523,169.89
  5. Step 5: Solve for x
    x = 406,523,169.89/28,109.32
  6. Step 6: Final answer
    x = 14,462.22

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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.