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Finding the Fourth Proportional to 8,127.40, 11,213.82 and 4,770.40

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Solution

The fourth proportional to 8,127.40, 11,213.82 and 4,770.40 is: 6,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.40 : 11,213.82 = 4,770.40 : x
  2. Step 2: Convert to fraction form
    8,127.40/11,213.82 = 4,770.40/x
  3. Step 3: Cross multiply
    8,127.40x = 11,213.82 × 4,770.40
  4. Step 4: Simplify right side
    8,127.40x = 53,494,406.93
  5. Step 5: Solve for x
    x = 53,494,406.93/8,127.40
  6. Step 6: Final answer
    x = 6,581.98

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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.