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Finding the Fourth Proportional to 13,212.30, 19,823.02 and 8,276.08

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Solution

The fourth proportional to 13,212.30, 19,823.02 and 8,276.08 is: 12,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.30 : 19,823.02 = 8,276.08 : x
  2. Step 2: Convert to fraction form
    13,212.30/19,823.02 = 8,276.08/x
  3. Step 3: Cross multiply
    13,212.30x = 19,823.02 × 8,276.08
  4. Step 4: Simplify right side
    13,212.30x = 164,056,899.36
  5. Step 5: Solve for x
    x = 164,056,899.36/13,212.30
  6. Step 6: Final answer
    x = 12,416.98

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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.