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Finding the Fourth Proportional to 2,541.27, 3,812.32 and 785.87

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Solution

The fourth proportional to 2,541.27, 3,812.32 and 785.87 is: 1,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.27 : 3,812.32 = 785.87 : x
  2. Step 2: Convert to fraction form
    2,541.27/3,812.32 = 785.87/x
  3. Step 3: Cross multiply
    2,541.27x = 3,812.32 × 785.87
  4. Step 4: Simplify right side
    2,541.27x = 2,995,968.86
  5. Step 5: Solve for x
    x = 2,995,968.86/2,541.27
  6. Step 6: Final answer
    x = 1,178.93

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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.