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Finding the Fourth Proportional to 19,784.50, 29,650 and 8,091.34

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Solution

The fourth proportional to 19,784.50, 29,650 and 8,091.34 is: 12,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.50 : 29,650 = 8,091.34 : x
  2. Step 2: Convert to fraction form
    19,784.50/29,650 = 8,091.34/x
  3. Step 3: Cross multiply
    19,784.50x = 29,650 × 8,091.34
  4. Step 4: Simplify right side
    19,784.50x = 239,908,231
  5. Step 5: Solve for x
    x = 239,908,231/19,784.50
  6. Step 6: Final answer
    x = 12,126.07

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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.