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Finding the Fourth Proportional to 19,384.78, 29,080.12 and 8,291.50

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Solution

The fourth proportional to 19,384.78, 29,080.12 and 8,291.50 is: 12,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384.78 : 29,080.12 = 8,291.50 : x
  2. Step 2: Convert to fraction form
    19,384.78/29,080.12 = 8,291.50/x
  3. Step 3: Cross multiply
    19,384.78x = 29,080.12 × 8,291.50
  4. Step 4: Simplify right side
    19,384.78x = 241,117,814.98
  5. Step 5: Solve for x
    x = 241,117,814.98/19,384.78
  6. Step 6: Final answer
    x = 12,438.51

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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.