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Finding the Fourth Proportional to 2,777.92, 3,833.19 and 1,582.47

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Solution

The fourth proportional to 2,777.92, 3,833.19 and 1,582.47 is: 2,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.92 : 3,833.19 = 1,582.47 : x
  2. Step 2: Convert to fraction form
    2,777.92/3,833.19 = 1,582.47/x
  3. Step 3: Cross multiply
    2,777.92x = 3,833.19 × 1,582.47
  4. Step 4: Simplify right side
    2,777.92x = 6,065,908.18
  5. Step 5: Solve for x
    x = 6,065,908.18/2,777.92
  6. Step 6: Final answer
    x = 2,183.62

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1.5x scale

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.