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Finding the Fourth Proportional to 5,076.71, 7,615.29 and 1,789.83

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Solution

The fourth proportional to 5,076.71, 7,615.29 and 1,789.83 is: 2,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.71 : 7,615.29 = 1,789.83 : x
  2. Step 2: Convert to fraction form
    5,076.71/7,615.29 = 1,789.83/x
  3. Step 3: Cross multiply
    5,076.71x = 7,615.29 × 1,789.83
  4. Step 4: Simplify right side
    5,076.71x = 13,630,074.50
  5. Step 5: Solve for x
    x = 13,630,074.50/5,076.71
  6. Step 6: Final answer
    x = 2,684.83

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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.