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Finding the Fourth Proportional to 5,578.86, 7,698.81 and 3,060.96

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Solution

The fourth proportional to 5,578.86, 7,698.81 and 3,060.96 is: 4,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.86 : 7,698.81 = 3,060.96 : x
  2. Step 2: Convert to fraction form
    5,578.86/7,698.81 = 3,060.96/x
  3. Step 3: Cross multiply
    5,578.86x = 7,698.81 × 3,060.96
  4. Step 4: Simplify right side
    5,578.86x = 23,565,749.46
  5. Step 5: Solve for x
    x = 23,565,749.46/5,578.86
  6. Step 6: Final answer
    x = 4,224.12

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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.