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Finding the Fourth Proportional to 8,911.64, 13,338.54 and 4,745.72

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Solution

The fourth proportional to 8,911.64, 13,338.54 and 4,745.72 is: 7,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.64 : 13,338.54 = 4,745.72 : x
  2. Step 2: Convert to fraction form
    8,911.64/13,338.54 = 4,745.72/x
  3. Step 3: Cross multiply
    8,911.64x = 13,338.54 × 4,745.72
  4. Step 4: Simplify right side
    8,911.64x = 63,300,976.05
  5. Step 5: Solve for x
    x = 63,300,976.05/8,911.64
  6. Step 6: Final answer
    x = 7,103.18

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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.