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Finding the Fourth Proportional to 3,717.69, 5,130.54 and 2,039.24

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Solution

The fourth proportional to 3,717.69, 5,130.54 and 2,039.24 is: 2,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.69 : 5,130.54 = 2,039.24 : x
  2. Step 2: Convert to fraction form
    3,717.69/5,130.54 = 2,039.24/x
  3. Step 3: Cross multiply
    3,717.69x = 5,130.54 × 2,039.24
  4. Step 4: Simplify right side
    3,717.69x = 10,462,402.39
  5. Step 5: Solve for x
    x = 10,462,402.39/3,717.69
  6. Step 6: Final answer
    x = 2,814.22

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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.