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Finding the Fourth Proportional to 28,226, 42,337.64 and 7,166.64

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Solution

The fourth proportional to 28,226, 42,337.64 and 7,166.64 is: 10,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,226 : 42,337.64 = 7,166.64 : x
  2. Step 2: Convert to fraction form
    28,226/42,337.64 = 7,166.64/x
  3. Step 3: Cross multiply
    28,226x = 42,337.64 × 7,166.64
  4. Step 4: Simplify right side
    28,226x = 303,418,624.33
  5. Step 5: Solve for x
    x = 303,418,624.33/28,226
  6. Step 6: Final answer
    x = 10,749.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.