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Finding the Fourth Proportional to 12,804, 19,213.56 and 5,407.98

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Solution

The fourth proportional to 12,804, 19,213.56 and 5,407.98 is: 8,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804 : 19,213.56 = 5,407.98 : x
  2. Step 2: Convert to fraction form
    12,804/19,213.56 = 5,407.98/x
  3. Step 3: Cross multiply
    12,804x = 19,213.56 × 5,407.98
  4. Step 4: Simplify right side
    12,804x = 103,906,548.21
  5. Step 5: Solve for x
    x = 103,906,548.21/12,804
  6. Step 6: Final answer
    x = 8,115.16

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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.