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Finding the Fourth Proportional to 3,838.48, 5,727.78 and 3,424.77

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Solution

The fourth proportional to 3,838.48, 5,727.78 and 3,424.77 is: 5,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.48 : 5,727.78 = 3,424.77 : x
  2. Step 2: Convert to fraction form
    3,838.48/5,727.78 = 3,424.77/x
  3. Step 3: Cross multiply
    3,838.48x = 5,727.78 × 3,424.77
  4. Step 4: Simplify right side
    3,838.48x = 19,616,329.11
  5. Step 5: Solve for x
    x = 19,616,329.11/3,838.48
  6. Step 6: Final answer
    x = 5,110.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.