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Finding the Fourth Proportional to 14,649, 20,215.62 and 8,361.54

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Solution

The fourth proportional to 14,649, 20,215.62 and 8,361.54 is: 11,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649 : 20,215.62 = 8,361.54 : x
  2. Step 2: Convert to fraction form
    14,649/20,215.62 = 8,361.54/x
  3. Step 3: Cross multiply
    14,649x = 20,215.62 × 8,361.54
  4. Step 4: Simplify right side
    14,649x = 169,033,715.25
  5. Step 5: Solve for x
    x = 169,033,715.25/14,649
  6. Step 6: Final answer
    x = 11,538.93

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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.