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Finding the Fourth Proportional to 5,820.69, 8,728.48 and 1,659.77

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Solution

The fourth proportional to 5,820.69, 8,728.48 and 1,659.77 is: 2,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.69 : 8,728.48 = 1,659.77 : x
  2. Step 2: Convert to fraction form
    5,820.69/8,728.48 = 1,659.77/x
  3. Step 3: Cross multiply
    5,820.69x = 8,728.48 × 1,659.77
  4. Step 4: Simplify right side
    5,820.69x = 14,487,240.53
  5. Step 5: Solve for x
    x = 14,487,240.53/5,820.69
  6. Step 6: Final answer
    x = 2,488.92

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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.