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Finding the Fourth Proportional to 6,389.41, 8,819.13 and 4,151.17

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Solution

The fourth proportional to 6,389.41, 8,819.13 and 4,151.17 is: 5,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.41 : 8,819.13 = 4,151.17 : x
  2. Step 2: Convert to fraction form
    6,389.41/8,819.13 = 4,151.17/x
  3. Step 3: Cross multiply
    6,389.41x = 8,819.13 × 4,151.17
  4. Step 4: Simplify right side
    6,389.41x = 36,609,707.88
  5. Step 5: Solve for x
    x = 36,609,707.88/6,389.41
  6. Step 6: Final answer
    x = 5,729.75

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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.