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Finding the Fourth Proportional to 3,203, 4,805.31 and 894.50

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Solution

The fourth proportional to 3,203, 4,805.31 and 894.50 is: 1,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203 : 4,805.31 = 894.50 : x
  2. Step 2: Convert to fraction form
    3,203/4,805.31 = 894.50/x
  3. Step 3: Cross multiply
    3,203x = 4,805.31 × 894.50
  4. Step 4: Simplify right side
    3,203x = 4,298,349.80
  5. Step 5: Solve for x
    x = 4,298,349.80/3,203
  6. Step 6: Final answer
    x = 1,341.98

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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.