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Finding the Fourth Proportional to 12,469.52, 17,207.84 and 6,803.84

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Solution

The fourth proportional to 12,469.52, 17,207.84 and 6,803.84 is: 9,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.52 : 17,207.84 = 6,803.84 : x
  2. Step 2: Convert to fraction form
    12,469.52/17,207.84 = 6,803.84/x
  3. Step 3: Cross multiply
    12,469.52x = 17,207.84 × 6,803.84
  4. Step 4: Simplify right side
    12,469.52x = 117,079,390.11
  5. Step 5: Solve for x
    x = 117,079,390.11/12,469.52
  6. Step 6: Final answer
    x = 9,389.25

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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.