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Finding the Fourth Proportional to 1,808, 2,695.56 and 1,697.84

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Solution

The fourth proportional to 1,808, 2,695.56 and 1,697.84 is: 2,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808 : 2,695.56 = 1,697.84 : x
  2. Step 2: Convert to fraction form
    1,808/2,695.56 = 1,697.84/x
  3. Step 3: Cross multiply
    1,808x = 2,695.56 × 1,697.84
  4. Step 4: Simplify right side
    1,808x = 4,576,629.59
  5. Step 5: Solve for x
    x = 4,576,629.59/1,808
  6. Step 6: Final answer
    x = 2,531.32

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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.