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Finding the Fourth Proportional to 27,542.56, 41,313.74 and 7,821.12

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Solution

The fourth proportional to 27,542.56, 41,313.74 and 7,821.12 is: 11,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.56 : 41,313.74 = 7,821.12 : x
  2. Step 2: Convert to fraction form
    27,542.56/41,313.74 = 7,821.12/x
  3. Step 3: Cross multiply
    27,542.56x = 41,313.74 × 7,821.12
  4. Step 4: Simplify right side
    27,542.56x = 323,119,718.19
  5. Step 5: Solve for x
    x = 323,119,718.19/27,542.56
  6. Step 6: Final answer
    x = 11,731.65

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1.5x scale

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.