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Finding the Fourth Proportional to 11,445.59, 15,795.92 and 6,409.73

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Solution

The fourth proportional to 11,445.59, 15,795.92 and 6,409.73 is: 8,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.59 : 15,795.92 = 6,409.73 : x
  2. Step 2: Convert to fraction form
    11,445.59/15,795.92 = 6,409.73/x
  3. Step 3: Cross multiply
    11,445.59x = 15,795.92 × 6,409.73
  4. Step 4: Simplify right side
    11,445.59x = 101,247,637.82
  5. Step 5: Solve for x
    x = 101,247,637.82/11,445.59
  6. Step 6: Final answer
    x = 8,845.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.