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Finding the Fourth Proportional to 1,969.67, 2,954.43 and 1,146.30

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Solution

The fourth proportional to 1,969.67, 2,954.43 and 1,146.30 is: 1,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.67 : 2,954.43 = 1,146.30 : x
  2. Step 2: Convert to fraction form
    1,969.67/2,954.43 = 1,146.30/x
  3. Step 3: Cross multiply
    1,969.67x = 2,954.43 × 1,146.30
  4. Step 4: Simplify right side
    1,969.67x = 3,386,663.11
  5. Step 5: Solve for x
    x = 3,386,663.11/1,969.67
  6. Step 6: Final answer
    x = 1,719.41

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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.