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Finding the Fourth Proportional to 3,887.88, 5,834.45 and 1,695.34

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Solution

The fourth proportional to 3,887.88, 5,834.45 and 1,695.34 is: 2,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.88 : 5,834.45 = 1,695.34 : x
  2. Step 2: Convert to fraction form
    3,887.88/5,834.45 = 1,695.34/x
  3. Step 3: Cross multiply
    3,887.88x = 5,834.45 × 1,695.34
  4. Step 4: Simplify right side
    3,887.88x = 9,891,376.46
  5. Step 5: Solve for x
    x = 9,891,376.46/3,887.88
  6. Step 6: Final answer
    x = 2,544.16

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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.