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Finding the Fourth Proportional to 5,617.86, 7,752.68 and 3,100

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Solution

The fourth proportional to 5,617.86, 7,752.68 and 3,100 is: 4,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.86 : 7,752.68 = 3,100 : x
  2. Step 2: Convert to fraction form
    5,617.86/7,752.68 = 3,100/x
  3. Step 3: Cross multiply
    5,617.86x = 7,752.68 × 3,100
  4. Step 4: Simplify right side
    5,617.86x = 24,033,308
  5. Step 5: Solve for x
    x = 24,033,308/5,617.86
  6. Step 6: Final answer
    x = 4,278.02

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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.