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Finding the Fourth Proportional to 1,927.64, 2,891.37 and 1,340.91

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Solution

The fourth proportional to 1,927.64, 2,891.37 and 1,340.91 is: 2,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.64 : 2,891.37 = 1,340.91 : x
  2. Step 2: Convert to fraction form
    1,927.64/2,891.37 = 1,340.91/x
  3. Step 3: Cross multiply
    1,927.64x = 2,891.37 × 1,340.91
  4. Step 4: Simplify right side
    1,927.64x = 3,877,071.98
  5. Step 5: Solve for x
    x = 3,877,071.98/1,927.64
  6. Step 6: Final answer
    x = 2,011.30

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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.