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Finding the Fourth Proportional to 5,105.88, 7,658.76 and 1,819.08

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Solution

The fourth proportional to 5,105.88, 7,658.76 and 1,819.08 is: 2,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.88 : 7,658.76 = 1,819.08 : x
  2. Step 2: Convert to fraction form
    5,105.88/7,658.76 = 1,819.08/x
  3. Step 3: Cross multiply
    5,105.88x = 7,658.76 × 1,819.08
  4. Step 4: Simplify right side
    5,105.88x = 13,931,897.14
  5. Step 5: Solve for x
    x = 13,931,897.14/5,105.88
  6. Step 6: Final answer
    x = 2,728.60

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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.