Home / 21,264-31,902.72-9,578.24

Finding the Fourth Proportional to 21,264, 31,902.72 and 9,578.24

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Solution

The fourth proportional to 21,264, 31,902.72 and 9,578.24 is: 14,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264 : 31,902.72 = 9,578.24 : x
  2. Step 2: Convert to fraction form
    21,264/31,902.72 = 9,578.24/x
  3. Step 3: Cross multiply
    21,264x = 31,902.72 × 9,578.24
  4. Step 4: Simplify right side
    21,264x = 305,571,908.81
  5. Step 5: Solve for x
    x = 305,571,908.81/21,264
  6. Step 6: Final answer
    x = 14,370.39

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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.