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Finding the Fourth Proportional to 8,113.62, 12,170.54 and 2,848.42

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Solution

The fourth proportional to 8,113.62, 12,170.54 and 2,848.42 is: 4,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.62 : 12,170.54 = 2,848.42 : x
  2. Step 2: Convert to fraction form
    8,113.62/12,170.54 = 2,848.42/x
  3. Step 3: Cross multiply
    8,113.62x = 12,170.54 × 2,848.42
  4. Step 4: Simplify right side
    8,113.62x = 34,666,809.55
  5. Step 5: Solve for x
    x = 34,666,809.55/8,113.62
  6. Step 6: Final answer
    x = 4,272.67

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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.