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Finding the Fourth Proportional to 15,667, 21,621.42 and 9,043

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Solution

The fourth proportional to 15,667, 21,621.42 and 9,043 is: 12,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667 : 21,621.42 = 9,043 : x
  2. Step 2: Convert to fraction form
    15,667/21,621.42 = 9,043/x
  3. Step 3: Cross multiply
    15,667x = 21,621.42 × 9,043
  4. Step 4: Simplify right side
    15,667x = 195,522,501.06
  5. Step 5: Solve for x
    x = 195,522,501.06/15,667
  6. Step 6: Final answer
    x = 12,479.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.