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Finding the Fourth Proportional to 25,491.40, 38,230.62 and 7,963

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Solution

The fourth proportional to 25,491.40, 38,230.62 and 7,963 is: 11,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,491.40 : 38,230.62 = 7,963 : x
  2. Step 2: Convert to fraction form
    25,491.40/38,230.62 = 7,963/x
  3. Step 3: Cross multiply
    25,491.40x = 38,230.62 × 7,963
  4. Step 4: Simplify right side
    25,491.40x = 304,430,427.06
  5. Step 5: Solve for x
    x = 304,430,427.06/25,491.40
  6. Step 6: Final answer
    x = 11,942.48

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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.