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Finding the Fourth Proportional to 5,181.86, 7,151.04 and 2,824.04

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Solution

The fourth proportional to 5,181.86, 7,151.04 and 2,824.04 is: 3,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.86 : 7,151.04 = 2,824.04 : x
  2. Step 2: Convert to fraction form
    5,181.86/7,151.04 = 2,824.04/x
  3. Step 3: Cross multiply
    5,181.86x = 7,151.04 × 2,824.04
  4. Step 4: Simplify right side
    5,181.86x = 20,194,823.00
  5. Step 5: Solve for x
    x = 20,194,823.00/5,181.86
  6. Step 6: Final answer
    x = 3,897.22

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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.