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Finding the Fourth Proportional to 11,319, 16,946.87 and 8,536.97

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Solution

The fourth proportional to 11,319, 16,946.87 and 8,536.97 is: 12,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319 : 16,946.87 = 8,536.97 : x
  2. Step 2: Convert to fraction form
    11,319/16,946.87 = 8,536.97/x
  3. Step 3: Cross multiply
    11,319x = 16,946.87 × 8,536.97
  4. Step 4: Simplify right side
    11,319x = 144,674,793.36
  5. Step 5: Solve for x
    x = 144,674,793.36/11,319
  6. Step 6: Final answer
    x = 12,781.59

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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.