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Finding the Fourth Proportional to 27,438.96, 41,160.86 and 7,717.68

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Solution

The fourth proportional to 27,438.96, 41,160.86 and 7,717.68 is: 11,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.96 : 41,160.86 = 7,717.68 : x
  2. Step 2: Convert to fraction form
    27,438.96/41,160.86 = 7,717.68/x
  3. Step 3: Cross multiply
    27,438.96x = 41,160.86 × 7,717.68
  4. Step 4: Simplify right side
    27,438.96x = 317,666,307.42
  5. Step 5: Solve for x
    x = 317,666,307.42/27,438.96
  6. Step 6: Final answer
    x = 11,577.20

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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.