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Finding the Fourth Proportional to 14,318.56, 21,482 and 6,419.32

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Solution

The fourth proportional to 14,318.56, 21,482 and 6,419.32 is: 9,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318.56 : 21,482 = 6,419.32 : x
  2. Step 2: Convert to fraction form
    14,318.56/21,482 = 6,419.32/x
  3. Step 3: Cross multiply
    14,318.56x = 21,482 × 6,419.32
  4. Step 4: Simplify right side
    14,318.56x = 137,899,832.24
  5. Step 5: Solve for x
    x = 137,899,832.24/14,318.56
  6. Step 6: Final answer
    x = 9,630.85

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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.