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Finding the Fourth Proportional to 1,894.86, 2,615.16 and 1,149.12

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Solution

The fourth proportional to 1,894.86, 2,615.16 and 1,149.12 is: 1,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.86 : 2,615.16 = 1,149.12 : x
  2. Step 2: Convert to fraction form
    1,894.86/2,615.16 = 1,149.12/x
  3. Step 3: Cross multiply
    1,894.86x = 2,615.16 × 1,149.12
  4. Step 4: Simplify right side
    1,894.86x = 3,005,132.66
  5. Step 5: Solve for x
    x = 3,005,132.66/1,894.86
  6. Step 6: Final answer
    x = 1,585.94

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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.