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Finding the Fourth Proportional to 12,383.58, 17,089.20 and 7,078.08

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Solution

The fourth proportional to 12,383.58, 17,089.20 and 7,078.08 is: 9,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.58 : 17,089.20 = 7,078.08 : x
  2. Step 2: Convert to fraction form
    12,383.58/17,089.20 = 7,078.08/x
  3. Step 3: Cross multiply
    12,383.58x = 17,089.20 × 7,078.08
  4. Step 4: Simplify right side
    12,383.58x = 120,958,724.74
  5. Step 5: Solve for x
    x = 120,958,724.74/12,383.58
  6. Step 6: Final answer
    x = 9,767.67

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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.