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Finding the Fourth Proportional to 2,092, 3,142.64 and 1,362.72

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Solution

The fourth proportional to 2,092, 3,142.64 and 1,362.72 is: 2,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 3,142.64 = 1,362.72 : x
  2. Step 2: Convert to fraction form
    2,092/3,142.64 = 1,362.72/x
  3. Step 3: Cross multiply
    2,092x = 3,142.64 × 1,362.72
  4. Step 4: Simplify right side
    2,092x = 4,282,538.38
  5. Step 5: Solve for x
    x = 4,282,538.38/2,092
  6. Step 6: Final answer
    x = 2,047.10

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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.