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Finding the Fourth Proportional to 5,674.31, 7,830.54 and 3,190.31

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Solution

The fourth proportional to 5,674.31, 7,830.54 and 3,190.31 is: 4,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.31 : 7,830.54 = 3,190.31 : x
  2. Step 2: Convert to fraction form
    5,674.31/7,830.54 = 3,190.31/x
  3. Step 3: Cross multiply
    5,674.31x = 7,830.54 × 3,190.31
  4. Step 4: Simplify right side
    5,674.31x = 24,981,810.91
  5. Step 5: Solve for x
    x = 24,981,810.91/5,674.31
  6. Step 6: Final answer
    x = 4,402.62

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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.