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Finding the Fourth Proportional to 3,491.70, 5,228.40 and 3,289.41

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Solution

The fourth proportional to 3,491.70, 5,228.40 and 3,289.41 is: 4,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.70 : 5,228.40 = 3,289.41 : x
  2. Step 2: Convert to fraction form
    3,491.70/5,228.40 = 3,289.41/x
  3. Step 3: Cross multiply
    3,491.70x = 5,228.40 × 3,289.41
  4. Step 4: Simplify right side
    3,491.70x = 17,198,351.24
  5. Step 5: Solve for x
    x = 17,198,351.24/3,491.70
  6. Step 6: Final answer
    x = 4,925.50

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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.