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Finding the Fourth Proportional to 1,954.05, 2,696.72 and 1,158

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Solution

The fourth proportional to 1,954.05, 2,696.72 and 1,158 is: 1,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.05 : 2,696.72 = 1,158 : x
  2. Step 2: Convert to fraction form
    1,954.05/2,696.72 = 1,158/x
  3. Step 3: Cross multiply
    1,954.05x = 2,696.72 × 1,158
  4. Step 4: Simplify right side
    1,954.05x = 3,122,795.97
  5. Step 5: Solve for x
    x = 3,122,795.97/1,954.05
  6. Step 6: Final answer
    x = 1,598.11

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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.