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Finding the Fourth Proportional to 2,842.70, 3,923.28 and 1,663.74

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Solution

The fourth proportional to 2,842.70, 3,923.28 and 1,663.74 is: 2,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.70 : 3,923.28 = 1,663.74 : x
  2. Step 2: Convert to fraction form
    2,842.70/3,923.28 = 1,663.74/x
  3. Step 3: Cross multiply
    2,842.70x = 3,923.28 × 1,663.74
  4. Step 4: Simplify right side
    2,842.70x = 6,527,317.87
  5. Step 5: Solve for x
    x = 6,527,317.87/2,842.70
  6. Step 6: Final answer
    x = 2,296.17

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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.