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Finding the Fourth Proportional to 5,644.17, 7,784.13 and 3,405.57

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Solution

The fourth proportional to 5,644.17, 7,784.13 and 3,405.57 is: 4,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.17 : 7,784.13 = 3,405.57 : x
  2. Step 2: Convert to fraction form
    5,644.17/7,784.13 = 3,405.57/x
  3. Step 3: Cross multiply
    5,644.17x = 7,784.13 × 3,405.57
  4. Step 4: Simplify right side
    5,644.17x = 26,509,399.60
  5. Step 5: Solve for x
    x = 26,509,399.60/5,644.17
  6. Step 6: Final answer
    x = 4,696.78

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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.