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Finding the Fourth Proportional to 19,807.35, 29,711.00 and 7,961.12

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Solution

The fourth proportional to 19,807.35, 29,711.00 and 7,961.12 is: 11,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.35 : 29,711.00 = 7,961.12 : x
  2. Step 2: Convert to fraction form
    19,807.35/29,711.00 = 7,961.12/x
  3. Step 3: Cross multiply
    19,807.35x = 29,711.00 × 7,961.12
  4. Step 4: Simplify right side
    19,807.35x = 236,532,819.08
  5. Step 5: Solve for x
    x = 236,532,819.08/19,807.35
  6. Step 6: Final answer
    x = 11,941.67

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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.