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Finding the Fourth Proportional to 2,891.64, 4,338.80 and 917.58

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Solution

The fourth proportional to 2,891.64, 4,338.80 and 917.58 is: 1,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.64 : 4,338.80 = 917.58 : x
  2. Step 2: Convert to fraction form
    2,891.64/4,338.80 = 917.58/x
  3. Step 3: Cross multiply
    2,891.64x = 4,338.80 × 917.58
  4. Step 4: Simplify right side
    2,891.64x = 3,981,198.40
  5. Step 5: Solve for x
    x = 3,981,198.40/2,891.64
  6. Step 6: Final answer
    x = 1,376.80

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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.