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Finding the Fourth Proportional to 7,165.18, 10,743.18 and 2,777.95

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Solution

The fourth proportional to 7,165.18, 10,743.18 and 2,777.95 is: 4,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.18 : 10,743.18 = 2,777.95 : x
  2. Step 2: Convert to fraction form
    7,165.18/10,743.18 = 2,777.95/x
  3. Step 3: Cross multiply
    7,165.18x = 10,743.18 × 2,777.95
  4. Step 4: Simplify right side
    7,165.18x = 29,844,016.88
  5. Step 5: Solve for x
    x = 29,844,016.88/7,165.18
  6. Step 6: Final answer
    x = 4,165.15

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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.