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Finding the Fourth Proportional to 11,229, 15,496.50 and 6,261

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Solution

The fourth proportional to 11,229, 15,496.50 and 6,261 is: 8,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229 : 15,496.50 = 6,261 : x
  2. Step 2: Convert to fraction form
    11,229/15,496.50 = 6,261/x
  3. Step 3: Cross multiply
    11,229x = 15,496.50 × 6,261
  4. Step 4: Simplify right side
    11,229x = 97,023,586.50
  5. Step 5: Solve for x
    x = 97,023,586.50/11,229
  6. Step 6: Final answer
    x = 8,640.45

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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.