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Finding the Fourth Proportional to 5,267.40, 7,890.70 and 3,419.80

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Solution

The fourth proportional to 5,267.40, 7,890.70 and 3,419.80 is: 5,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.40 : 7,890.70 = 3,419.80 : x
  2. Step 2: Convert to fraction form
    5,267.40/7,890.70 = 3,419.80/x
  3. Step 3: Cross multiply
    5,267.40x = 7,890.70 × 3,419.80
  4. Step 4: Simplify right side
    5,267.40x = 26,984,615.86
  5. Step 5: Solve for x
    x = 26,984,615.86/5,267.40
  6. Step 6: Final answer
    x = 5,122.95

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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.