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Finding the Fourth Proportional to 14,223, 21,344.22 and 4,989

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Solution

The fourth proportional to 14,223, 21,344.22 and 4,989 is: 7,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223 : 21,344.22 = 4,989 : x
  2. Step 2: Convert to fraction form
    14,223/21,344.22 = 4,989/x
  3. Step 3: Cross multiply
    14,223x = 21,344.22 × 4,989
  4. Step 4: Simplify right side
    14,223x = 106,486,313.58
  5. Step 5: Solve for x
    x = 106,486,313.58/14,223
  6. Step 6: Final answer
    x = 7,486.91

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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.