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Finding the Fourth Proportional to 5,252.72, 7,879.20 and 1,790

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Solution

The fourth proportional to 5,252.72, 7,879.20 and 1,790 is: 2,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.72 : 7,879.20 = 1,790 : x
  2. Step 2: Convert to fraction form
    5,252.72/7,879.20 = 1,790/x
  3. Step 3: Cross multiply
    5,252.72x = 7,879.20 × 1,790
  4. Step 4: Simplify right side
    5,252.72x = 14,103,768
  5. Step 5: Solve for x
    x = 14,103,768/5,252.72
  6. Step 6: Final answer
    x = 2,685.04

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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.