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Finding the Fourth Proportional to 10,447.87, 15,657.08 and 5,769.99

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Solution

The fourth proportional to 10,447.87, 15,657.08 and 5,769.99 is: 8,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.87 : 15,657.08 = 5,769.99 : x
  2. Step 2: Convert to fraction form
    10,447.87/15,657.08 = 5,769.99/x
  3. Step 3: Cross multiply
    10,447.87x = 15,657.08 × 5,769.99
  4. Step 4: Simplify right side
    10,447.87x = 90,341,107.47
  5. Step 5: Solve for x
    x = 90,341,107.47/10,447.87
  6. Step 6: Final answer
    x = 8,646.84

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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.