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Finding the Fourth Proportional to 4,608.86, 6,911.90 and 1,686.48

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Solution

The fourth proportional to 4,608.86, 6,911.90 and 1,686.48 is: 2,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.86 : 6,911.90 = 1,686.48 : x
  2. Step 2: Convert to fraction form
    4,608.86/6,911.90 = 1,686.48/x
  3. Step 3: Cross multiply
    4,608.86x = 6,911.90 × 1,686.48
  4. Step 4: Simplify right side
    4,608.86x = 11,656,781.11
  5. Step 5: Solve for x
    x = 11,656,781.11/4,608.86
  6. Step 6: Final answer
    x = 2,529.21

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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.