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Finding the Fourth Proportional to 11,330, 15,635.40 and 6,362

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Solution

The fourth proportional to 11,330, 15,635.40 and 6,362 is: 8,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330 : 15,635.40 = 6,362 : x
  2. Step 2: Convert to fraction form
    11,330/15,635.40 = 6,362/x
  3. Step 3: Cross multiply
    11,330x = 15,635.40 × 6,362
  4. Step 4: Simplify right side
    11,330x = 99,472,414.80
  5. Step 5: Solve for x
    x = 99,472,414.80/11,330
  6. Step 6: Final answer
    x = 8,779.56

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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.