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Finding the Fourth Proportional to 2,817.69, 3,889.37 and 1,639.74

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Solution

The fourth proportional to 2,817.69, 3,889.37 and 1,639.74 is: 2,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.69 : 3,889.37 = 1,639.74 : x
  2. Step 2: Convert to fraction form
    2,817.69/3,889.37 = 1,639.74/x
  3. Step 3: Cross multiply
    2,817.69x = 3,889.37 × 1,639.74
  4. Step 4: Simplify right side
    2,817.69x = 6,377,565.02
  5. Step 5: Solve for x
    x = 6,377,565.02/2,817.69
  6. Step 6: Final answer
    x = 2,263.40

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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.