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Finding the Fourth Proportional to 15,024, 20,734.08 and 8,400

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Solution

The fourth proportional to 15,024, 20,734.08 and 8,400 is: 11,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,024 : 20,734.08 = 8,400 : x
  2. Step 2: Convert to fraction form
    15,024/20,734.08 = 8,400/x
  3. Step 3: Cross multiply
    15,024x = 20,734.08 × 8,400
  4. Step 4: Simplify right side
    15,024x = 174,166,272
  5. Step 5: Solve for x
    x = 174,166,272/15,024
  6. Step 6: Final answer
    x = 11,592.54

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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.