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Finding the Fourth Proportional to 2,727.58, 4,091.51 and 780.07

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Solution

The fourth proportional to 2,727.58, 4,091.51 and 780.07 is: 1,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.58 : 4,091.51 = 780.07 : x
  2. Step 2: Convert to fraction form
    2,727.58/4,091.51 = 780.07/x
  3. Step 3: Cross multiply
    2,727.58x = 4,091.51 × 780.07
  4. Step 4: Simplify right side
    2,727.58x = 3,191,664.21
  5. Step 5: Solve for x
    x = 3,191,664.21/2,727.58
  6. Step 6: Final answer
    x = 1,170.15

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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.