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Finding the Fourth Proportional to 8,828.16, 13,238.64 and 3,830.88

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Solution

The fourth proportional to 8,828.16, 13,238.64 and 3,830.88 is: 5,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828.16 : 13,238.64 = 3,830.88 : x
  2. Step 2: Convert to fraction form
    8,828.16/13,238.64 = 3,830.88/x
  3. Step 3: Cross multiply
    8,828.16x = 13,238.64 × 3,830.88
  4. Step 4: Simplify right side
    8,828.16x = 50,715,641.20
  5. Step 5: Solve for x
    x = 50,715,641.20/8,828.16
  6. Step 6: Final answer
    x = 5,744.76

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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.