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Finding the Fourth Proportional to 27,031.12, 40,541.72 and 7,311.26

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Solution

The fourth proportional to 27,031.12, 40,541.72 and 7,311.26 is: 10,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031.12 : 40,541.72 = 7,311.26 : x
  2. Step 2: Convert to fraction form
    27,031.12/40,541.72 = 7,311.26/x
  3. Step 3: Cross multiply
    27,031.12x = 40,541.72 × 7,311.26
  4. Step 4: Simplify right side
    27,031.12x = 296,411,120.57
  5. Step 5: Solve for x
    x = 296,411,120.57/27,031.12
  6. Step 6: Final answer
    x = 10,965.55

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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.