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Finding the Fourth Proportional to 1,694.42, 2,337.11 and 1,554.99

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Solution

The fourth proportional to 1,694.42, 2,337.11 and 1,554.99 is: 2,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.42 : 2,337.11 = 1,554.99 : x
  2. Step 2: Convert to fraction form
    1,694.42/2,337.11 = 1,554.99/x
  3. Step 3: Cross multiply
    1,694.42x = 2,337.11 × 1,554.99
  4. Step 4: Simplify right side
    1,694.42x = 3,634,174.90
  5. Step 5: Solve for x
    x = 3,634,174.90/1,694.42
  6. Step 6: Final answer
    x = 2,144.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.