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Finding the Fourth Proportional to 1,777.38, 2,662.17 and 1,465.72

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Solution

The fourth proportional to 1,777.38, 2,662.17 and 1,465.72 is: 2,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.38 : 2,662.17 = 1,465.72 : x
  2. Step 2: Convert to fraction form
    1,777.38/2,662.17 = 1,465.72/x
  3. Step 3: Cross multiply
    1,777.38x = 2,662.17 × 1,465.72
  4. Step 4: Simplify right side
    1,777.38x = 3,901,995.81
  5. Step 5: Solve for x
    x = 3,901,995.81/1,777.38
  6. Step 6: Final answer
    x = 2,195.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.