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Finding the Fourth Proportional to 5,243.28, 7,867.95 and 2,646.42

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Solution

The fourth proportional to 5,243.28, 7,867.95 and 2,646.42 is: 3,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.28 : 7,867.95 = 2,646.42 : x
  2. Step 2: Convert to fraction form
    5,243.28/7,867.95 = 2,646.42/x
  3. Step 3: Cross multiply
    5,243.28x = 7,867.95 × 2,646.42
  4. Step 4: Simplify right side
    5,243.28x = 20,821,900.24
  5. Step 5: Solve for x
    x = 20,821,900.24/5,243.28
  6. Step 6: Final answer
    x = 3,971.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.