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Finding the Fourth Proportional to 8,089.84, 12,122.88 and 4,394.08

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Solution

The fourth proportional to 8,089.84, 12,122.88 and 4,394.08 is: 6,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.84 : 12,122.88 = 4,394.08 : x
  2. Step 2: Convert to fraction form
    8,089.84/12,122.88 = 4,394.08/x
  3. Step 3: Cross multiply
    8,089.84x = 12,122.88 × 4,394.08
  4. Step 4: Simplify right side
    8,089.84x = 53,268,904.55
  5. Step 5: Solve for x
    x = 53,268,904.55/8,089.84
  6. Step 6: Final answer
    x = 6,584.67

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1.5x scale

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.