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Finding the Fourth Proportional to 6,841.42, 9,440.50 and 3,856.98

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Solution

The fourth proportional to 6,841.42, 9,440.50 and 3,856.98 is: 5,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.42 : 9,440.50 = 3,856.98 : x
  2. Step 2: Convert to fraction form
    6,841.42/9,440.50 = 3,856.98/x
  3. Step 3: Cross multiply
    6,841.42x = 9,440.50 × 3,856.98
  4. Step 4: Simplify right side
    6,841.42x = 36,411,819.69
  5. Step 5: Solve for x
    x = 36,411,819.69/6,841.42
  6. Step 6: Final answer
    x = 5,322.26

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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.