Home / 3,854.49-5,782.32-1,663.23

Finding the Fourth Proportional to 3,854.49, 5,782.32 and 1,663.23

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Solution

The fourth proportional to 3,854.49, 5,782.32 and 1,663.23 is: 2,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.49 : 5,782.32 = 1,663.23 : x
  2. Step 2: Convert to fraction form
    3,854.49/5,782.32 = 1,663.23/x
  3. Step 3: Cross multiply
    3,854.49x = 5,782.32 × 1,663.23
  4. Step 4: Simplify right side
    3,854.49x = 9,617,328.09
  5. Step 5: Solve for x
    x = 9,617,328.09/3,854.49
  6. Step 6: Final answer
    x = 2,495.10

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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.