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Finding the Fourth Proportional to 2,601, 3,589.38 and 1,422.08

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Solution

The fourth proportional to 2,601, 3,589.38 and 1,422.08 is: 1,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601 : 3,589.38 = 1,422.08 : x
  2. Step 2: Convert to fraction form
    2,601/3,589.38 = 1,422.08/x
  3. Step 3: Cross multiply
    2,601x = 3,589.38 × 1,422.08
  4. Step 4: Simplify right side
    2,601x = 5,104,381.02
  5. Step 5: Solve for x
    x = 5,104,381.02/2,601
  6. Step 6: Final answer
    x = 1,962.47

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1.5x scale

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.