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Finding the Fourth Proportional to 12,885.44, 19,325.28 and 6,305

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Solution

The fourth proportional to 12,885.44, 19,325.28 and 6,305 is: 9,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.44 : 19,325.28 = 6,305 : x
  2. Step 2: Convert to fraction form
    12,885.44/19,325.28 = 6,305/x
  3. Step 3: Cross multiply
    12,885.44x = 19,325.28 × 6,305
  4. Step 4: Simplify right side
    12,885.44x = 121,845,890.40
  5. Step 5: Solve for x
    x = 121,845,890.40/12,885.44
  6. Step 6: Final answer
    x = 9,456.09

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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.