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Finding the Fourth Proportional to 5,763.86, 8,640.16 and 3,128.98

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Solution

The fourth proportional to 5,763.86, 8,640.16 and 3,128.98 is: 4,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.86 : 8,640.16 = 3,128.98 : x
  2. Step 2: Convert to fraction form
    5,763.86/8,640.16 = 3,128.98/x
  3. Step 3: Cross multiply
    5,763.86x = 8,640.16 × 3,128.98
  4. Step 4: Simplify right side
    5,763.86x = 27,034,887.84
  5. Step 5: Solve for x
    x = 27,034,887.84/5,763.86
  6. Step 6: Final answer
    x = 4,690.41

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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.