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Finding the Fourth Proportional to 10,452, 15,682.64 and 4,224.17

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Solution

The fourth proportional to 10,452, 15,682.64 and 4,224.17 is: 6,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452 : 15,682.64 = 4,224.17 : x
  2. Step 2: Convert to fraction form
    10,452/15,682.64 = 4,224.17/x
  3. Step 3: Cross multiply
    10,452x = 15,682.64 × 4,224.17
  4. Step 4: Simplify right side
    10,452x = 66,246,187.18
  5. Step 5: Solve for x
    x = 66,246,187.18/10,452
  6. Step 6: Final answer
    x = 6,338.14

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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.