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Finding the Fourth Proportional to 8,159.10, 12,183.20 and 7,697.10

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Solution

The fourth proportional to 8,159.10, 12,183.20 and 7,697.10 is: 11,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.10 : 12,183.20 = 7,697.10 : x
  2. Step 2: Convert to fraction form
    8,159.10/12,183.20 = 7,697.10/x
  3. Step 3: Cross multiply
    8,159.10x = 12,183.20 × 7,697.10
  4. Step 4: Simplify right side
    8,159.10x = 93,775,270.23
  5. Step 5: Solve for x
    x = 93,775,270.23/8,159.10
  6. Step 6: Final answer
    x = 11,493.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.