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Finding the Fourth Proportional to 11,486.74, 15,850.59 and 6,450

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Solution

The fourth proportional to 11,486.74, 15,850.59 and 6,450 is: 8,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.74 : 15,850.59 = 6,450 : x
  2. Step 2: Convert to fraction form
    11,486.74/15,850.59 = 6,450/x
  3. Step 3: Cross multiply
    11,486.74x = 15,850.59 × 6,450
  4. Step 4: Simplify right side
    11,486.74x = 102,236,305.50
  5. Step 5: Solve for x
    x = 102,236,305.50/11,486.74
  6. Step 6: Final answer
    x = 8,900.38

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Double scale
Find fourth proportional to 11,487.74, 15,851.97 and 6,451
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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.