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Finding the Fourth Proportional to 4,122, 5,696.12 and 3,125.43

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Solution

The fourth proportional to 4,122, 5,696.12 and 3,125.43 is: 4,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 5,696.12 = 3,125.43 : x
  2. Step 2: Convert to fraction form
    4,122/5,696.12 = 3,125.43/x
  3. Step 3: Cross multiply
    4,122x = 5,696.12 × 3,125.43
  4. Step 4: Simplify right side
    4,122x = 17,802,832.15
  5. Step 5: Solve for x
    x = 17,802,832.15/4,122
  6. Step 6: Final answer
    x = 4,318.98

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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.