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Finding the Fourth Proportional to 9,611.12, 14,352.58 and 9,119.09

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Solution

The fourth proportional to 9,611.12, 14,352.58 and 9,119.09 is: 13,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.12 : 14,352.58 = 9,119.09 : x
  2. Step 2: Convert to fraction form
    9,611.12/14,352.58 = 9,119.09/x
  3. Step 3: Cross multiply
    9,611.12x = 14,352.58 × 9,119.09
  4. Step 4: Simplify right side
    9,611.12x = 130,882,468.75
  5. Step 5: Solve for x
    x = 130,882,468.75/9,611.12
  6. Step 6: Final answer
    x = 13,617.82

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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.