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Finding the Fourth Proportional to 2,505.99, 3,758.38 and 1,044.35

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Solution

The fourth proportional to 2,505.99, 3,758.38 and 1,044.35 is: 1,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.99 : 3,758.38 = 1,044.35 : x
  2. Step 2: Convert to fraction form
    2,505.99/3,758.38 = 1,044.35/x
  3. Step 3: Cross multiply
    2,505.99x = 3,758.38 × 1,044.35
  4. Step 4: Simplify right side
    2,505.99x = 3,925,064.15
  5. Step 5: Solve for x
    x = 3,925,064.15/2,505.99
  6. Step 6: Final answer
    x = 1,566.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.