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Finding the Fourth Proportional to 1,945.71, 2,914 and 1,361.29

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Solution

The fourth proportional to 1,945.71, 2,914 and 1,361.29 is: 2,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.71 : 2,914 = 1,361.29 : x
  2. Step 2: Convert to fraction form
    1,945.71/2,914 = 1,361.29/x
  3. Step 3: Cross multiply
    1,945.71x = 2,914 × 1,361.29
  4. Step 4: Simplify right side
    1,945.71x = 3,966,799.06
  5. Step 5: Solve for x
    x = 3,966,799.06/1,945.71
  6. Step 6: Final answer
    x = 2,038.74

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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.