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Finding the Fourth Proportional to 4,007.82, 5,528 and 3,677.34

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Solution

The fourth proportional to 4,007.82, 5,528 and 3,677.34 is: 5,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.82 : 5,528 = 3,677.34 : x
  2. Step 2: Convert to fraction form
    4,007.82/5,528 = 3,677.34/x
  3. Step 3: Cross multiply
    4,007.82x = 5,528 × 3,677.34
  4. Step 4: Simplify right side
    4,007.82x = 20,328,335.52
  5. Step 5: Solve for x
    x = 20,328,335.52/4,007.82
  6. Step 6: Final answer
    x = 5,072.17

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1.5x scale

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.