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Finding the Fourth Proportional to 3,718.00, 5,130.64 and 2,039.38

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Solution

The fourth proportional to 3,718.00, 5,130.64 and 2,039.38 is: 2,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.00 : 5,130.64 = 2,039.38 : x
  2. Step 2: Convert to fraction form
    3,718.00/5,130.64 = 2,039.38/x
  3. Step 3: Cross multiply
    3,718.00x = 5,130.64 × 2,039.38
  4. Step 4: Simplify right side
    3,718.00x = 10,463,314.33
  5. Step 5: Solve for x
    x = 10,463,314.33/3,718.00
  6. Step 6: Final answer
    x = 2,814.23

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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.