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Finding the Fourth Proportional to 12,089.62, 16,683.78 and 6,784.30

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Solution

The fourth proportional to 12,089.62, 16,683.78 and 6,784.30 is: 9,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.62 : 16,683.78 = 6,784.30 : x
  2. Step 2: Convert to fraction form
    12,089.62/16,683.78 = 6,784.30/x
  3. Step 3: Cross multiply
    12,089.62x = 16,683.78 × 6,784.30
  4. Step 4: Simplify right side
    12,089.62x = 113,187,768.65
  5. Step 5: Solve for x
    x = 113,187,768.65/12,089.62
  6. Step 6: Final answer
    x = 9,362.39

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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.