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Finding the Fourth Proportional to 2,720.86, 4,081.28 and 772.81

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Solution

The fourth proportional to 2,720.86, 4,081.28 and 772.81 is: 1,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.86 : 4,081.28 = 772.81 : x
  2. Step 2: Convert to fraction form
    2,720.86/4,081.28 = 772.81/x
  3. Step 3: Cross multiply
    2,720.86x = 4,081.28 × 772.81
  4. Step 4: Simplify right side
    2,720.86x = 3,154,054.00
  5. Step 5: Solve for x
    x = 3,154,054.00/2,720.86
  6. Step 6: Final answer
    x = 1,159.21

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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.