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Finding the Fourth Proportional to 11,827.20, 16,243.20 and 10,291.20

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Solution

The fourth proportional to 11,827.20, 16,243.20 and 10,291.20 is: 14,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.20 : 16,243.20 = 10,291.20 : x
  2. Step 2: Convert to fraction form
    11,827.20/16,243.20 = 10,291.20/x
  3. Step 3: Cross multiply
    11,827.20x = 16,243.20 × 10,291.20
  4. Step 4: Simplify right side
    11,827.20x = 167,162,019.84
  5. Step 5: Solve for x
    x = 167,162,019.84/11,827.20
  6. Step 6: Final answer
    x = 14,133.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.