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Finding the Fourth Proportional to 1,785.87, 2,679.71 and 811.84

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Solution

The fourth proportional to 1,785.87, 2,679.71 and 811.84 is: 1,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.87 : 2,679.71 = 811.84 : x
  2. Step 2: Convert to fraction form
    1,785.87/2,679.71 = 811.84/x
  3. Step 3: Cross multiply
    1,785.87x = 2,679.71 × 811.84
  4. Step 4: Simplify right side
    1,785.87x = 2,175,495.77
  5. Step 5: Solve for x
    x = 2,175,495.77/1,785.87
  6. Step 6: Final answer
    x = 1,218.17

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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.