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Finding the Fourth Proportional to 2,106.57, 3,159.97 and 807.94

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Solution

The fourth proportional to 2,106.57, 3,159.97 and 807.94 is: 1,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.57 : 3,159.97 = 807.94 : x
  2. Step 2: Convert to fraction form
    2,106.57/3,159.97 = 807.94/x
  3. Step 3: Cross multiply
    2,106.57x = 3,159.97 × 807.94
  4. Step 4: Simplify right side
    2,106.57x = 2,553,056.24
  5. Step 5: Solve for x
    x = 2,553,056.24/2,106.57
  6. Step 6: Final answer
    x = 1,211.95

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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.