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Finding the Fourth Proportional to 18,311.10, 27,464.21 and 5,164.53

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Solution

The fourth proportional to 18,311.10, 27,464.21 and 5,164.53 is: 7,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.10 : 27,464.21 = 5,164.53 : x
  2. Step 2: Convert to fraction form
    18,311.10/27,464.21 = 5,164.53/x
  3. Step 3: Cross multiply
    18,311.10x = 27,464.21 × 5,164.53
  4. Step 4: Simplify right side
    18,311.10x = 141,839,736.47
  5. Step 5: Solve for x
    x = 141,839,736.47/18,311.10
  6. Step 6: Final answer
    x = 7,746.11

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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.