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Finding the Fourth Proportional to 1,695.74, 2,340.18 and 949.64

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Solution

The fourth proportional to 1,695.74, 2,340.18 and 949.64 is: 1,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.74 : 2,340.18 = 949.64 : x
  2. Step 2: Convert to fraction form
    1,695.74/2,340.18 = 949.64/x
  3. Step 3: Cross multiply
    1,695.74x = 2,340.18 × 949.64
  4. Step 4: Simplify right side
    1,695.74x = 2,222,316.83
  5. Step 5: Solve for x
    x = 2,222,316.83/1,695.74
  6. Step 6: Final answer
    x = 1,310.53

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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.