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Finding the Fourth Proportional to 3,422.70, 4,723.54 and 1,930.08

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Solution

The fourth proportional to 3,422.70, 4,723.54 and 1,930.08 is: 2,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.70 : 4,723.54 = 1,930.08 : x
  2. Step 2: Convert to fraction form
    3,422.70/4,723.54 = 1,930.08/x
  3. Step 3: Cross multiply
    3,422.70x = 4,723.54 × 1,930.08
  4. Step 4: Simplify right side
    3,422.70x = 9,116,810.08
  5. Step 5: Solve for x
    x = 9,116,810.08/3,422.70
  6. Step 6: Final answer
    x = 2,663.63

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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.