Home / 1,721.62-2,582.40-423.10

Finding the Fourth Proportional to 1,721.62, 2,582.40 and 423.10

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Solution

The fourth proportional to 1,721.62, 2,582.40 and 423.10 is: 634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.62 : 2,582.40 = 423.10 : x
  2. Step 2: Convert to fraction form
    1,721.62/2,582.40 = 423.10/x
  3. Step 3: Cross multiply
    1,721.62x = 2,582.40 × 423.10
  4. Step 4: Simplify right side
    1,721.62x = 1,092,613.44
  5. Step 5: Solve for x
    x = 1,092,613.44/1,721.62
  6. Step 6: Final answer
    x = 634.64

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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.