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Finding the Fourth Proportional to 7,805.99, 11,707.86 and 2,541.49

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Solution

The fourth proportional to 7,805.99, 11,707.86 and 2,541.49 is: 3,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.99 : 11,707.86 = 2,541.49 : x
  2. Step 2: Convert to fraction form
    7,805.99/11,707.86 = 2,541.49/x
  3. Step 3: Cross multiply
    7,805.99x = 11,707.86 × 2,541.49
  4. Step 4: Simplify right side
    7,805.99x = 29,755,409.11
  5. Step 5: Solve for x
    x = 29,755,409.11/7,805.99
  6. Step 6: Final answer
    x = 3,811.87

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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.