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Finding the Fourth Proportional to 10,450, 15,649 and 7,315.32

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Solution

The fourth proportional to 10,450, 15,649 and 7,315.32 is: 10,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450 : 15,649 = 7,315.32 : x
  2. Step 2: Convert to fraction form
    10,450/15,649 = 7,315.32/x
  3. Step 3: Cross multiply
    10,450x = 15,649 × 7,315.32
  4. Step 4: Simplify right side
    10,450x = 114,477,442.68
  5. Step 5: Solve for x
    x = 114,477,442.68/10,450
  6. Step 6: Final answer
    x = 10,954.78

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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.