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Finding the Fourth Proportional to 5,217.88, 7,828.03 and 1,520.50

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Solution

The fourth proportional to 5,217.88, 7,828.03 and 1,520.50 is: 2,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.88 : 7,828.03 = 1,520.50 : x
  2. Step 2: Convert to fraction form
    5,217.88/7,828.03 = 1,520.50/x
  3. Step 3: Cross multiply
    5,217.88x = 7,828.03 × 1,520.50
  4. Step 4: Simplify right side
    5,217.88x = 11,902,519.62
  5. Step 5: Solve for x
    x = 11,902,519.62/5,217.88
  6. Step 6: Final answer
    x = 2,281.10

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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.