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Finding the Fourth Proportional to 5,606, 8,409.60 and 2,644.23

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Solution

The fourth proportional to 5,606, 8,409.60 and 2,644.23 is: 3,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606 : 8,409.60 = 2,644.23 : x
  2. Step 2: Convert to fraction form
    5,606/8,409.60 = 2,644.23/x
  3. Step 3: Cross multiply
    5,606x = 8,409.60 × 2,644.23
  4. Step 4: Simplify right side
    5,606x = 22,236,916.61
  5. Step 5: Solve for x
    x = 22,236,916.61/5,606
  6. Step 6: Final answer
    x = 3,966.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.