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Finding the Fourth Proportional to 8,696, 13,039.68 and 3,500.48

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Solution

The fourth proportional to 8,696, 13,039.68 and 3,500.48 is: 5,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696 : 13,039.68 = 3,500.48 : x
  2. Step 2: Convert to fraction form
    8,696/13,039.68 = 3,500.48/x
  3. Step 3: Cross multiply
    8,696x = 13,039.68 × 3,500.48
  4. Step 4: Simplify right side
    8,696x = 45,645,139.05
  5. Step 5: Solve for x
    x = 45,645,139.05/8,696
  6. Step 6: Final answer
    x = 5,248.98

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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.