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Finding the Fourth Proportional to 5,144.86, 7,717.30 and 1,249.28

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Solution

The fourth proportional to 5,144.86, 7,717.30 and 1,249.28 is: 1,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.86 : 7,717.30 = 1,249.28 : x
  2. Step 2: Convert to fraction form
    5,144.86/7,717.30 = 1,249.28/x
  3. Step 3: Cross multiply
    5,144.86x = 7,717.30 × 1,249.28
  4. Step 4: Simplify right side
    5,144.86x = 9,641,068.54
  5. Step 5: Solve for x
    x = 9,641,068.54/5,144.86
  6. Step 6: Final answer
    x = 1,873.92

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1.5x scale

Why These Related Problems?

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