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Finding the Fourth Proportional to 21,318.84, 31,978.26 and 7,464.60

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Solution

The fourth proportional to 21,318.84, 31,978.26 and 7,464.60 is: 11,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.84 : 31,978.26 = 7,464.60 : x
  2. Step 2: Convert to fraction form
    21,318.84/31,978.26 = 7,464.60/x
  3. Step 3: Cross multiply
    21,318.84x = 31,978.26 × 7,464.60
  4. Step 4: Simplify right side
    21,318.84x = 238,704,919.60
  5. Step 5: Solve for x
    x = 238,704,919.60/21,318.84
  6. Step 6: Final answer
    x = 11,196.90

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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.