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Finding the Fourth Proportional to 8,151.28, 11,253.54 and 5,911

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Solution

The fourth proportional to 8,151.28, 11,253.54 and 5,911 is: 8,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.28 : 11,253.54 = 5,911 : x
  2. Step 2: Convert to fraction form
    8,151.28/11,253.54 = 5,911/x
  3. Step 3: Cross multiply
    8,151.28x = 11,253.54 × 5,911
  4. Step 4: Simplify right side
    8,151.28x = 66,519,674.94
  5. Step 5: Solve for x
    x = 66,519,674.94/8,151.28
  6. Step 6: Final answer
    x = 8,160.64

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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.