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Finding the Fourth Proportional to 9,405.10, 12,975.76 and 7,163.43

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Solution

The fourth proportional to 9,405.10, 12,975.76 and 7,163.43 is: 9,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.10 : 12,975.76 = 7,163.43 : x
  2. Step 2: Convert to fraction form
    9,405.10/12,975.76 = 7,163.43/x
  3. Step 3: Cross multiply
    9,405.10x = 12,975.76 × 7,163.43
  4. Step 4: Simplify right side
    9,405.10x = 92,950,948.46
  5. Step 5: Solve for x
    x = 92,950,948.46/9,405.10
  6. Step 6: Final answer
    x = 9,883.04

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1.5x scale

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.