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Finding the Fourth Proportional to 8,811.72, 12,160.53 and 5,274.24

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Solution

The fourth proportional to 8,811.72, 12,160.53 and 5,274.24 is: 7,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.72 : 12,160.53 = 5,274.24 : x
  2. Step 2: Convert to fraction form
    8,811.72/12,160.53 = 5,274.24/x
  3. Step 3: Cross multiply
    8,811.72x = 12,160.53 × 5,274.24
  4. Step 4: Simplify right side
    8,811.72x = 64,137,553.75
  5. Step 5: Solve for x
    x = 64,137,553.75/8,811.72
  6. Step 6: Final answer
    x = 7,278.66

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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.