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Finding the Fourth Proportional to 27,438.59, 41,153.09 and 7,712.45

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Solution

The fourth proportional to 27,438.59, 41,153.09 and 7,712.45 is: 11,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.59 : 41,153.09 = 7,712.45 : x
  2. Step 2: Convert to fraction form
    27,438.59/41,153.09 = 7,712.45/x
  3. Step 3: Cross multiply
    27,438.59x = 41,153.09 × 7,712.45
  4. Step 4: Simplify right side
    27,438.59x = 317,391,148.97
  5. Step 5: Solve for x
    x = 317,391,148.97/27,438.59
  6. Step 6: Final answer
    x = 11,567.33

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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.