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Finding the Fourth Proportional to 2,589.25, 3,573.18 and 1,410.40

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Solution

The fourth proportional to 2,589.25, 3,573.18 and 1,410.40 is: 1,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.25 : 3,573.18 = 1,410.40 : x
  2. Step 2: Convert to fraction form
    2,589.25/3,573.18 = 1,410.40/x
  3. Step 3: Cross multiply
    2,589.25x = 3,573.18 × 1,410.40
  4. Step 4: Simplify right side
    2,589.25x = 5,039,613.07
  5. Step 5: Solve for x
    x = 5,039,613.07/2,589.25
  6. Step 6: Final answer
    x = 1,946.36

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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.