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Finding the Fourth Proportional to 2,586, 3,568.65 and 1,407.05

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Solution

The fourth proportional to 2,586, 3,568.65 and 1,407.05 is: 1,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586 : 3,568.65 = 1,407.05 : x
  2. Step 2: Convert to fraction form
    2,586/3,568.65 = 1,407.05/x
  3. Step 3: Cross multiply
    2,586x = 3,568.65 × 1,407.05
  4. Step 4: Simplify right side
    2,586x = 5,021,268.98
  5. Step 5: Solve for x
    x = 5,021,268.98/2,586
  6. Step 6: Final answer
    x = 1,941.71

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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.