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Finding the Fourth Proportional to 19,767.70, 29,625.36 and 12,354.58

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Solution

The fourth proportional to 19,767.70, 29,625.36 and 12,354.58 is: 18,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.70 : 29,625.36 = 12,354.58 : x
  2. Step 2: Convert to fraction form
    19,767.70/29,625.36 = 12,354.58/x
  3. Step 3: Cross multiply
    19,767.70x = 29,625.36 × 12,354.58
  4. Step 4: Simplify right side
    19,767.70x = 366,008,880.15
  5. Step 5: Solve for x
    x = 366,008,880.15/19,767.70
  6. Step 6: Final answer
    x = 18,515.50

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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.