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Finding the Fourth Proportional to 3,653.70, 5,470.80 and 1,918.68

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Solution

The fourth proportional to 3,653.70, 5,470.80 and 1,918.68 is: 2,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.70 : 5,470.80 = 1,918.68 : x
  2. Step 2: Convert to fraction form
    3,653.70/5,470.80 = 1,918.68/x
  3. Step 3: Cross multiply
    3,653.70x = 5,470.80 × 1,918.68
  4. Step 4: Simplify right side
    3,653.70x = 10,496,714.54
  5. Step 5: Solve for x
    x = 10,496,714.54/3,653.70
  6. Step 6: Final answer
    x = 2,872.90

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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.