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Finding the Fourth Proportional to 1,695.62, 2,340 and 949.58

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Solution

The fourth proportional to 1,695.62, 2,340 and 949.58 is: 1,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.62 : 2,340 = 949.58 : x
  2. Step 2: Convert to fraction form
    1,695.62/2,340 = 949.58/x
  3. Step 3: Cross multiply
    1,695.62x = 2,340 × 949.58
  4. Step 4: Simplify right side
    1,695.62x = 2,222,005.50
  5. Step 5: Solve for x
    x = 2,222,005.50/1,695.62
  6. Step 6: Final answer
    x = 1,310.44

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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.