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Finding the Fourth Proportional to 4,815.85, 7,223.96 and 1,528.87

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Solution

The fourth proportional to 4,815.85, 7,223.96 and 1,528.87 is: 2,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.85 : 7,223.96 = 1,528.87 : x
  2. Step 2: Convert to fraction form
    4,815.85/7,223.96 = 1,528.87/x
  3. Step 3: Cross multiply
    4,815.85x = 7,223.96 × 1,528.87
  4. Step 4: Simplify right side
    4,815.85x = 11,044,495.73
  5. Step 5: Solve for x
    x = 11,044,495.73/4,815.85
  6. Step 6: Final answer
    x = 2,293.36

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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.