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Finding the Fourth Proportional to 2,287.86, 3,157 and 1,293.09

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Solution

The fourth proportional to 2,287.86, 3,157 and 1,293.09 is: 1,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.86 : 3,157 = 1,293.09 : x
  2. Step 2: Convert to fraction form
    2,287.86/3,157 = 1,293.09/x
  3. Step 3: Cross multiply
    2,287.86x = 3,157 × 1,293.09
  4. Step 4: Simplify right side
    2,287.86x = 4,082,285.13
  5. Step 5: Solve for x
    x = 4,082,285.13/2,287.86
  6. Step 6: Final answer
    x = 1,784.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.