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Finding the Fourth Proportional to 28,652.04, 42,978 and 16,166.39

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Solution

The fourth proportional to 28,652.04, 42,978 and 16,166.39 is: 24,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,652.04 : 42,978 = 16,166.39 : x
  2. Step 2: Convert to fraction form
    28,652.04/42,978 = 16,166.39/x
  3. Step 3: Cross multiply
    28,652.04x = 42,978 × 16,166.39
  4. Step 4: Simplify right side
    28,652.04x = 694,799,216.87
  5. Step 5: Solve for x
    x = 694,799,216.87/28,652.04
  6. Step 6: Final answer
    x = 24,249.55

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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.