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Finding the Fourth Proportional to 15,057, 20,778.66 and 8,433

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Solution

The fourth proportional to 15,057, 20,778.66 and 8,433 is: 11,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057 : 20,778.66 = 8,433 : x
  2. Step 2: Convert to fraction form
    15,057/20,778.66 = 8,433/x
  3. Step 3: Cross multiply
    15,057x = 20,778.66 × 8,433
  4. Step 4: Simplify right side
    15,057x = 175,226,439.78
  5. Step 5: Solve for x
    x = 175,226,439.78/15,057
  6. Step 6: Final answer
    x = 11,637.54

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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.