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Finding the Fourth Proportional to 13,808.76, 19,056.64 and 8,223

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Solution

The fourth proportional to 13,808.76, 19,056.64 and 8,223 is: 11,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.76 : 19,056.64 = 8,223 : x
  2. Step 2: Convert to fraction form
    13,808.76/19,056.64 = 8,223/x
  3. Step 3: Cross multiply
    13,808.76x = 19,056.64 × 8,223
  4. Step 4: Simplify right side
    13,808.76x = 156,702,750.72
  5. Step 5: Solve for x
    x = 156,702,750.72/13,808.76
  6. Step 6: Final answer
    x = 11,348.07

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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.