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Finding the Fourth Proportional to 2,106.84, 3,161.22 and 807.87

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Solution

The fourth proportional to 2,106.84, 3,161.22 and 807.87 is: 1,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.84 : 3,161.22 = 807.87 : x
  2. Step 2: Convert to fraction form
    2,106.84/3,161.22 = 807.87/x
  3. Step 3: Cross multiply
    2,106.84x = 3,161.22 × 807.87
  4. Step 4: Simplify right side
    2,106.84x = 2,553,854.80
  5. Step 5: Solve for x
    x = 2,553,854.80/2,106.84
  6. Step 6: Final answer
    x = 1,212.17

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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.