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Finding the Fourth Proportional to 27,031.16, 40,548.78 and 7,309.43

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Solution

The fourth proportional to 27,031.16, 40,548.78 and 7,309.43 is: 10,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031.16 : 40,548.78 = 7,309.43 : x
  2. Step 2: Convert to fraction form
    27,031.16/40,548.78 = 7,309.43/x
  3. Step 3: Cross multiply
    27,031.16x = 40,548.78 × 7,309.43
  4. Step 4: Simplify right side
    27,031.16x = 296,388,266.25
  5. Step 5: Solve for x
    x = 296,388,266.25/27,031.16
  6. Step 6: Final answer
    x = 10,964.69

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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.