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Finding the Fourth Proportional to 3,785.69, 5,678.22 and 2,394.98

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Solution

The fourth proportional to 3,785.69, 5,678.22 and 2,394.98 is: 3,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.69 : 5,678.22 = 2,394.98 : x
  2. Step 2: Convert to fraction form
    3,785.69/5,678.22 = 2,394.98/x
  3. Step 3: Cross multiply
    3,785.69x = 5,678.22 × 2,394.98
  4. Step 4: Simplify right side
    3,785.69x = 13,599,223.34
  5. Step 5: Solve for x
    x = 13,599,223.34/3,785.69
  6. Step 6: Final answer
    x = 3,592.27

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1.5x scale

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.