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Finding the Fourth Proportional to 13,574.66, 20,361.78 and 6,997.05

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Solution

The fourth proportional to 13,574.66, 20,361.78 and 6,997.05 is: 10,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.66 : 20,361.78 = 6,997.05 : x
  2. Step 2: Convert to fraction form
    13,574.66/20,361.78 = 6,997.05/x
  3. Step 3: Cross multiply
    13,574.66x = 20,361.78 × 6,997.05
  4. Step 4: Simplify right side
    13,574.66x = 142,472,392.75
  5. Step 5: Solve for x
    x = 142,472,392.75/13,574.66
  6. Step 6: Final answer
    x = 10,495.47

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1.5x scale

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.