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Finding the Fourth Proportional to 12,302.48, 16,984.32 and 8,118.02

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Solution

The fourth proportional to 12,302.48, 16,984.32 and 8,118.02 is: 11,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.48 : 16,984.32 = 8,118.02 : x
  2. Step 2: Convert to fraction form
    12,302.48/16,984.32 = 8,118.02/x
  3. Step 3: Cross multiply
    12,302.48x = 16,984.32 × 8,118.02
  4. Step 4: Simplify right side
    12,302.48x = 137,879,049.45
  5. Step 5: Solve for x
    x = 137,879,049.45/12,302.48
  6. Step 6: Final answer
    x = 11,207.42

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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.