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Finding the Fourth Proportional to 11,939.68, 16,474.08 and 7,223.84

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Solution

The fourth proportional to 11,939.68, 16,474.08 and 7,223.84 is: 9,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939.68 : 16,474.08 = 7,223.84 : x
  2. Step 2: Convert to fraction form
    11,939.68/16,474.08 = 7,223.84/x
  3. Step 3: Cross multiply
    11,939.68x = 16,474.08 × 7,223.84
  4. Step 4: Simplify right side
    11,939.68x = 119,006,118.07
  5. Step 5: Solve for x
    x = 119,006,118.07/11,939.68
  6. Step 6: Final answer
    x = 9,967.28

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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.