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Finding the Fourth Proportional to 3,695.72, 5,100 and 2,017.17

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Solution

The fourth proportional to 3,695.72, 5,100 and 2,017.17 is: 2,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.72 : 5,100 = 2,017.17 : x
  2. Step 2: Convert to fraction form
    3,695.72/5,100 = 2,017.17/x
  3. Step 3: Cross multiply
    3,695.72x = 5,100 × 2,017.17
  4. Step 4: Simplify right side
    3,695.72x = 10,287,567
  5. Step 5: Solve for x
    x = 10,287,567/3,695.72
  6. Step 6: Final answer
    x = 2,783.65

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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.