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Finding the Fourth Proportional to 1,427.14, 2,139.02 and 1,265.14

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Solution

The fourth proportional to 1,427.14, 2,139.02 and 1,265.14 is: 1,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.14 : 2,139.02 = 1,265.14 : x
  2. Step 2: Convert to fraction form
    1,427.14/2,139.02 = 1,265.14/x
  3. Step 3: Cross multiply
    1,427.14x = 2,139.02 × 1,265.14
  4. Step 4: Simplify right side
    1,427.14x = 2,706,159.76
  5. Step 5: Solve for x
    x = 2,706,159.76/1,427.14
  6. Step 6: Final answer
    x = 1,896.21

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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.