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Finding the Fourth Proportional to 5,200.40, 7,799.70 and 1,911.80

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Solution

The fourth proportional to 5,200.40, 7,799.70 and 1,911.80 is: 2,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.40 : 7,799.70 = 1,911.80 : x
  2. Step 2: Convert to fraction form
    5,200.40/7,799.70 = 1,911.80/x
  3. Step 3: Cross multiply
    5,200.40x = 7,799.70 × 1,911.80
  4. Step 4: Simplify right side
    5,200.40x = 14,911,466.46
  5. Step 5: Solve for x
    x = 14,911,466.46/5,200.40
  6. Step 6: Final answer
    x = 2,867.37

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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.