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Finding the Fourth Proportional to 7,851.57, 11,782.49 and 7,218.02

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Solution

The fourth proportional to 7,851.57, 11,782.49 and 7,218.02 is: 10,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.57 : 11,782.49 = 7,218.02 : x
  2. Step 2: Convert to fraction form
    7,851.57/11,782.49 = 7,218.02/x
  3. Step 3: Cross multiply
    7,851.57x = 11,782.49 × 7,218.02
  4. Step 4: Simplify right side
    7,851.57x = 85,046,241.84
  5. Step 5: Solve for x
    x = 85,046,241.84/7,851.57
  6. Step 6: Final answer
    x = 10,831.75

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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.