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Finding the Fourth Proportional to 7,356, 10,151.39 and 3,998.86

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Solution

The fourth proportional to 7,356, 10,151.39 and 3,998.86 is: 5,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356 : 10,151.39 = 3,998.86 : x
  2. Step 2: Convert to fraction form
    7,356/10,151.39 = 3,998.86/x
  3. Step 3: Cross multiply
    7,356x = 10,151.39 × 3,998.86
  4. Step 4: Simplify right side
    7,356x = 40,593,987.42
  5. Step 5: Solve for x
    x = 40,593,987.42/7,356
  6. Step 6: Final answer
    x = 5,518.49

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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.