Home / 21,192.28-31,782.36-8,542

Finding the Fourth Proportional to 21,192.28, 31,782.36 and 8,542

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Solution

The fourth proportional to 21,192.28, 31,782.36 and 8,542 is: 12,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192.28 : 31,782.36 = 8,542 : x
  2. Step 2: Convert to fraction form
    21,192.28/31,782.36 = 8,542/x
  3. Step 3: Cross multiply
    21,192.28x = 31,782.36 × 8,542
  4. Step 4: Simplify right side
    21,192.28x = 271,484,919.12
  5. Step 5: Solve for x
    x = 271,484,919.12/21,192.28
  6. Step 6: Final answer
    x = 12,810.56

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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.