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Finding the Fourth Proportional to 5,137.25, 7,699.12 and 2,798.24

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Solution

The fourth proportional to 5,137.25, 7,699.12 and 2,798.24 is: 4,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.25 : 7,699.12 = 2,798.24 : x
  2. Step 2: Convert to fraction form
    5,137.25/7,699.12 = 2,798.24/x
  3. Step 3: Cross multiply
    5,137.25x = 7,699.12 × 2,798.24
  4. Step 4: Simplify right side
    5,137.25x = 21,543,940.06
  5. Step 5: Solve for x
    x = 21,543,940.06/5,137.25
  6. Step 6: Final answer
    x = 4,193.68

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1.5x scale

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.