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Finding the Fourth Proportional to 5,661.33, 7,815.72 and 3,423.79

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Solution

The fourth proportional to 5,661.33, 7,815.72 and 3,423.79 is: 4,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.33 : 7,815.72 = 3,423.79 : x
  2. Step 2: Convert to fraction form
    5,661.33/7,815.72 = 3,423.79/x
  3. Step 3: Cross multiply
    5,661.33x = 7,815.72 × 3,423.79
  4. Step 4: Simplify right side
    5,661.33x = 26,759,383.98
  5. Step 5: Solve for x
    x = 26,759,383.98/5,661.33
  6. Step 6: Final answer
    x = 4,726.70

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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.