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Finding the Fourth Proportional to 5,722.88, 7,898.88 and 4,789.76

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Solution

The fourth proportional to 5,722.88, 7,898.88 and 4,789.76 is: 6,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.88 : 7,898.88 = 4,789.76 : x
  2. Step 2: Convert to fraction form
    5,722.88/7,898.88 = 4,789.76/x
  3. Step 3: Cross multiply
    5,722.88x = 7,898.88 × 4,789.76
  4. Step 4: Simplify right side
    5,722.88x = 37,833,739.47
  5. Step 5: Solve for x
    x = 37,833,739.47/5,722.88
  6. Step 6: Final answer
    x = 6,610.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.