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Finding the Fourth Proportional to 7,161.52, 10,742.20 and 5,718.12

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Solution

The fourth proportional to 7,161.52, 10,742.20 and 5,718.12 is: 8,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.52 : 10,742.20 = 5,718.12 : x
  2. Step 2: Convert to fraction form
    7,161.52/10,742.20 = 5,718.12/x
  3. Step 3: Cross multiply
    7,161.52x = 10,742.20 × 5,718.12
  4. Step 4: Simplify right side
    7,161.52x = 61,425,188.66
  5. Step 5: Solve for x
    x = 61,425,188.66/7,161.52
  6. Step 6: Final answer
    x = 8,577.12

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1.5x scale

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.