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Finding the Fourth Proportional to 1,691.64, 2,521.56 and 1,505.58

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Solution

The fourth proportional to 1,691.64, 2,521.56 and 1,505.58 is: 2,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.64 : 2,521.56 = 1,505.58 : x
  2. Step 2: Convert to fraction form
    1,691.64/2,521.56 = 1,505.58/x
  3. Step 3: Cross multiply
    1,691.64x = 2,521.56 × 1,505.58
  4. Step 4: Simplify right side
    1,691.64x = 3,796,410.30
  5. Step 5: Solve for x
    x = 3,796,410.30/1,691.64
  6. Step 6: Final answer
    x = 2,244.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.