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Finding the Fourth Proportional to 5,181.99, 7,151.14 and 2,824.13

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Solution

The fourth proportional to 5,181.99, 7,151.14 and 2,824.13 is: 3,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.99 : 7,151.14 = 2,824.13 : x
  2. Step 2: Convert to fraction form
    5,181.99/7,151.14 = 2,824.13/x
  3. Step 3: Cross multiply
    5,181.99x = 7,151.14 × 2,824.13
  4. Step 4: Simplify right side
    5,181.99x = 20,195,749.01
  5. Step 5: Solve for x
    x = 20,195,749.01/5,181.99
  6. Step 6: Final answer
    x = 3,897.30

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1.5x scale

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.