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Finding the Fourth Proportional to 3,699.47, 5,105.84 and 2,127.47

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Solution

The fourth proportional to 3,699.47, 5,105.84 and 2,127.47 is: 2,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.47 : 5,105.84 = 2,127.47 : x
  2. Step 2: Convert to fraction form
    3,699.47/5,105.84 = 2,127.47/x
  3. Step 3: Cross multiply
    3,699.47x = 5,105.84 × 2,127.47
  4. Step 4: Simplify right side
    3,699.47x = 10,862,485.26
  5. Step 5: Solve for x
    x = 10,862,485.26/3,699.47
  6. Step 6: Final answer
    x = 2,936.23

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1.5x scale

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.