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Finding the Fourth Proportional to 3,180.08, 4,770.12 and 1,640

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Solution

The fourth proportional to 3,180.08, 4,770.12 and 1,640 is: 2,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.08 : 4,770.12 = 1,640 : x
  2. Step 2: Convert to fraction form
    3,180.08/4,770.12 = 1,640/x
  3. Step 3: Cross multiply
    3,180.08x = 4,770.12 × 1,640
  4. Step 4: Simplify right side
    3,180.08x = 7,822,996.80
  5. Step 5: Solve for x
    x = 7,822,996.80/3,180.08
  6. Step 6: Final answer
    x = 2,460

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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.