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Finding the Fourth Proportional to 12,798, 19,199.13 and 4,031.17

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Solution

The fourth proportional to 12,798, 19,199.13 and 4,031.17 is: 6,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798 : 19,199.13 = 4,031.17 : x
  2. Step 2: Convert to fraction form
    12,798/19,199.13 = 4,031.17/x
  3. Step 3: Cross multiply
    12,798x = 19,199.13 × 4,031.17
  4. Step 4: Simplify right side
    12,798x = 77,394,893.77
  5. Step 5: Solve for x
    x = 77,394,893.77/12,798
  6. Step 6: Final answer
    x = 6,047.42

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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.