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Finding the Fourth Proportional to 2,164.65, 2,987.24 and 1,268.93

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Solution

The fourth proportional to 2,164.65, 2,987.24 and 1,268.93 is: 1,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.65 : 2,987.24 = 1,268.93 : x
  2. Step 2: Convert to fraction form
    2,164.65/2,987.24 = 1,268.93/x
  3. Step 3: Cross multiply
    2,164.65x = 2,987.24 × 1,268.93
  4. Step 4: Simplify right side
    2,164.65x = 3,790,577.17
  5. Step 5: Solve for x
    x = 3,790,577.17/2,164.65
  6. Step 6: Final answer
    x = 1,751.13

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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.