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Finding the Fourth Proportional to 27,141.14, 40,711.75 and 7,419.87

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Solution

The fourth proportional to 27,141.14, 40,711.75 and 7,419.87 is: 11,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.14 : 40,711.75 = 7,419.87 : x
  2. Step 2: Convert to fraction form
    27,141.14/40,711.75 = 7,419.87/x
  3. Step 3: Cross multiply
    27,141.14x = 40,711.75 × 7,419.87
  4. Step 4: Simplify right side
    27,141.14x = 302,075,873.92
  5. Step 5: Solve for x
    x = 302,075,873.92/27,141.14
  6. Step 6: Final answer
    x = 11,129.81

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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.