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Finding the Fourth Proportional to 1,696.95, 2,343.74 and 1,351.89

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Solution

The fourth proportional to 1,696.95, 2,343.74 and 1,351.89 is: 1,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.95 : 2,343.74 = 1,351.89 : x
  2. Step 2: Convert to fraction form
    1,696.95/2,343.74 = 1,351.89/x
  3. Step 3: Cross multiply
    1,696.95x = 2,343.74 × 1,351.89
  4. Step 4: Simplify right side
    1,696.95x = 3,168,471.91
  5. Step 5: Solve for x
    x = 3,168,471.91/1,696.95
  6. Step 6: Final answer
    x = 1,867.16

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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.