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Finding the Fourth Proportional to 3,809.40, 5,711.40 and 1,730.40

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Solution

The fourth proportional to 3,809.40, 5,711.40 and 1,730.40 is: 2,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.40 : 5,711.40 = 1,730.40 : x
  2. Step 2: Convert to fraction form
    3,809.40/5,711.40 = 1,730.40/x
  3. Step 3: Cross multiply
    3,809.40x = 5,711.40 × 1,730.40
  4. Step 4: Simplify right side
    3,809.40x = 9,883,006.56
  5. Step 5: Solve for x
    x = 9,883,006.56/3,809.40
  6. Step 6: Final answer
    x = 2,594.37

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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.