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Finding the Fourth Proportional to 7,717, 10,650.90 and 4,405

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Solution

The fourth proportional to 7,717, 10,650.90 and 4,405 is: 6,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717 : 10,650.90 = 4,405 : x
  2. Step 2: Convert to fraction form
    7,717/10,650.90 = 4,405/x
  3. Step 3: Cross multiply
    7,717x = 10,650.90 × 4,405
  4. Step 4: Simplify right side
    7,717x = 46,917,214.50
  5. Step 5: Solve for x
    x = 46,917,214.50/7,717
  6. Step 6: Final answer
    x = 6,079.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.