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Finding the Fourth Proportional to 2,698.48, 3,723.64 and 1,990.71

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Solution

The fourth proportional to 2,698.48, 3,723.64 and 1,990.71 is: 2,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.48 : 3,723.64 = 1,990.71 : x
  2. Step 2: Convert to fraction form
    2,698.48/3,723.64 = 1,990.71/x
  3. Step 3: Cross multiply
    2,698.48x = 3,723.64 × 1,990.71
  4. Step 4: Simplify right side
    2,698.48x = 7,412,687.38
  5. Step 5: Solve for x
    x = 7,412,687.38/2,698.48
  6. Step 6: Final answer
    x = 2,746.99

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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.