Home / 1,609.47-2,412.05-1,324.35

Finding the Fourth Proportional to 1,609.47, 2,412.05 and 1,324.35

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Solution

The fourth proportional to 1,609.47, 2,412.05 and 1,324.35 is: 1,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.47 : 2,412.05 = 1,324.35 : x
  2. Step 2: Convert to fraction form
    1,609.47/2,412.05 = 1,324.35/x
  3. Step 3: Cross multiply
    1,609.47x = 2,412.05 × 1,324.35
  4. Step 4: Simplify right side
    1,609.47x = 3,194,391.80
  5. Step 5: Solve for x
    x = 3,194,391.80/1,609.47
  6. Step 6: Final answer
    x = 1,984.75

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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.