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Finding the Fourth Proportional to 13,889.64, 20,827.98 and 8,047.92

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Solution

The fourth proportional to 13,889.64, 20,827.98 and 8,047.92 is: 12,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.64 : 20,827.98 = 8,047.92 : x
  2. Step 2: Convert to fraction form
    13,889.64/20,827.98 = 8,047.92/x
  3. Step 3: Cross multiply
    13,889.64x = 20,827.98 × 8,047.92
  4. Step 4: Simplify right side
    13,889.64x = 167,621,916.80
  5. Step 5: Solve for x
    x = 167,621,916.80/13,889.64
  6. Step 6: Final answer
    x = 12,068.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.