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Finding the Fourth Proportional to 2,663.90, 3,991.86 and 1,772.93

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Solution

The fourth proportional to 2,663.90, 3,991.86 and 1,772.93 is: 2,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.90 : 3,991.86 = 1,772.93 : x
  2. Step 2: Convert to fraction form
    2,663.90/3,991.86 = 1,772.93/x
  3. Step 3: Cross multiply
    2,663.90x = 3,991.86 × 1,772.93
  4. Step 4: Simplify right side
    2,663.90x = 7,077,288.35
  5. Step 5: Solve for x
    x = 7,077,288.35/2,663.90
  6. Step 6: Final answer
    x = 2,656.74

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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.