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Finding the Fourth Proportional to 18,915.73, 28,381.69 and 7,830.47

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Solution

The fourth proportional to 18,915.73, 28,381.69 and 7,830.47 is: 11,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,915.73 : 28,381.69 = 7,830.47 : x
  2. Step 2: Convert to fraction form
    18,915.73/28,381.69 = 7,830.47/x
  3. Step 3: Cross multiply
    18,915.73x = 28,381.69 × 7,830.47
  4. Step 4: Simplify right side
    18,915.73x = 222,242,052.84
  5. Step 5: Solve for x
    x = 222,242,052.84/18,915.73
  6. Step 6: Final answer
    x = 11,749.06

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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.