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Finding the Fourth Proportional to 2,707.77, 4,061.66 and 976.39

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Solution

The fourth proportional to 2,707.77, 4,061.66 and 976.39 is: 1,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.77 : 4,061.66 = 976.39 : x
  2. Step 2: Convert to fraction form
    2,707.77/4,061.66 = 976.39/x
  3. Step 3: Cross multiply
    2,707.77x = 4,061.66 × 976.39
  4. Step 4: Simplify right side
    2,707.77x = 3,965,777.73
  5. Step 5: Solve for x
    x = 3,965,777.73/2,707.77
  6. Step 6: Final answer
    x = 1,464.59

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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.