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Finding the Fourth Proportional to 3,122.57, 4,309.64 and 1,795.99

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Solution

The fourth proportional to 3,122.57, 4,309.64 and 1,795.99 is: 2,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.57 : 4,309.64 = 1,795.99 : x
  2. Step 2: Convert to fraction form
    3,122.57/4,309.64 = 1,795.99/x
  3. Step 3: Cross multiply
    3,122.57x = 4,309.64 × 1,795.99
  4. Step 4: Simplify right side
    3,122.57x = 7,740,070.34
  5. Step 5: Solve for x
    x = 7,740,070.34/3,122.57
  6. Step 6: Final answer
    x = 2,478.75

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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.