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Finding the Fourth Proportional to 8,822.32, 13,235.28 and 2,978.80

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Solution

The fourth proportional to 8,822.32, 13,235.28 and 2,978.80 is: 4,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.32 : 13,235.28 = 2,978.80 : x
  2. Step 2: Convert to fraction form
    8,822.32/13,235.28 = 2,978.80/x
  3. Step 3: Cross multiply
    8,822.32x = 13,235.28 × 2,978.80
  4. Step 4: Simplify right side
    8,822.32x = 39,425,252.06
  5. Step 5: Solve for x
    x = 39,425,252.06/8,822.32
  6. Step 6: Final answer
    x = 4,468.81

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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.