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Finding the Fourth Proportional to 7,182.64, 9,913.71 and 4,199.86

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Solution

The fourth proportional to 7,182.64, 9,913.71 and 4,199.86 is: 5,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.64 : 9,913.71 = 4,199.86 : x
  2. Step 2: Convert to fraction form
    7,182.64/9,913.71 = 4,199.86/x
  3. Step 3: Cross multiply
    7,182.64x = 9,913.71 × 4,199.86
  4. Step 4: Simplify right side
    7,182.64x = 41,636,194.08
  5. Step 5: Solve for x
    x = 41,636,194.08/7,182.64
  6. Step 6: Final answer
    x = 5,796.78

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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.