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Finding the Fourth Proportional to 2,751.71, 4,127.96 and 1,291.01

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Solution

The fourth proportional to 2,751.71, 4,127.96 and 1,291.01 is: 1,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.71 : 4,127.96 = 1,291.01 : x
  2. Step 2: Convert to fraction form
    2,751.71/4,127.96 = 1,291.01/x
  3. Step 3: Cross multiply
    2,751.71x = 4,127.96 × 1,291.01
  4. Step 4: Simplify right side
    2,751.71x = 5,329,220.23
  5. Step 5: Solve for x
    x = 5,329,220.23/2,751.71
  6. Step 6: Final answer
    x = 1,936.70

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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.