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Finding the Fourth Proportional to 10,655.87, 15,990.96 and 6,709.86

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Solution

The fourth proportional to 10,655.87, 15,990.96 and 6,709.86 is: 10,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.87 : 15,990.96 = 6,709.86 : x
  2. Step 2: Convert to fraction form
    10,655.87/15,990.96 = 6,709.86/x
  3. Step 3: Cross multiply
    10,655.87x = 15,990.96 × 6,709.86
  4. Step 4: Simplify right side
    10,655.87x = 107,297,024.63
  5. Step 5: Solve for x
    x = 107,297,024.63/10,655.87
  6. Step 6: Final answer
    x = 10,069.29

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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.