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Finding the Fourth Proportional to 29,178.64, 43,778.99 and 11,421.99

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Solution

The fourth proportional to 29,178.64, 43,778.99 and 11,421.99 is: 17,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,178.64 : 43,778.99 = 11,421.99 : x
  2. Step 2: Convert to fraction form
    29,178.64/43,778.99 = 11,421.99/x
  3. Step 3: Cross multiply
    29,178.64x = 43,778.99 × 11,421.99
  4. Step 4: Simplify right side
    29,178.64x = 500,043,276.41
  5. Step 5: Solve for x
    x = 500,043,276.41/29,178.64
  6. Step 6: Final answer
    x = 17,137.30

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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.