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Finding the Fourth Proportional to 5,628.89, 7,769.93 and 3,390.86

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Solution

The fourth proportional to 5,628.89, 7,769.93 and 3,390.86 is: 4,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.89 : 7,769.93 = 3,390.86 : x
  2. Step 2: Convert to fraction form
    5,628.89/7,769.93 = 3,390.86/x
  3. Step 3: Cross multiply
    5,628.89x = 7,769.93 × 3,390.86
  4. Step 4: Simplify right side
    5,628.89x = 26,346,747.31
  5. Step 5: Solve for x
    x = 26,346,747.31/5,628.89
  6. Step 6: Final answer
    x = 4,680.63

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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.