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Finding the Fourth Proportional to 28,262.50, 42,394.56 and 7,486

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Solution

The fourth proportional to 28,262.50, 42,394.56 and 7,486 is: 11,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,262.50 : 42,394.56 = 7,486 : x
  2. Step 2: Convert to fraction form
    28,262.50/42,394.56 = 7,486/x
  3. Step 3: Cross multiply
    28,262.50x = 42,394.56 × 7,486
  4. Step 4: Simplify right side
    28,262.50x = 317,365,676.16
  5. Step 5: Solve for x
    x = 317,365,676.16/28,262.50
  6. Step 6: Final answer
    x = 11,229.21

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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.