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Finding the Fourth Proportional to 9,611.78, 14,322.12 and 8,563.73

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Solution

The fourth proportional to 9,611.78, 14,322.12 and 8,563.73 is: 12,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.78 : 14,322.12 = 8,563.73 : x
  2. Step 2: Convert to fraction form
    9,611.78/14,322.12 = 8,563.73/x
  3. Step 3: Cross multiply
    9,611.78x = 14,322.12 × 8,563.73
  4. Step 4: Simplify right side
    9,611.78x = 122,650,768.71
  5. Step 5: Solve for x
    x = 122,650,768.71/9,611.78
  6. Step 6: Final answer
    x = 12,760.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.