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Finding the Fourth Proportional to 19,765.89, 29,660.53 and 7,294.60

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Solution

The fourth proportional to 19,765.89, 29,660.53 and 7,294.60 is: 10,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.89 : 29,660.53 = 7,294.60 : x
  2. Step 2: Convert to fraction form
    19,765.89/29,660.53 = 7,294.60/x
  3. Step 3: Cross multiply
    19,765.89x = 29,660.53 × 7,294.60
  4. Step 4: Simplify right side
    19,765.89x = 216,361,702.14
  5. Step 5: Solve for x
    x = 216,361,702.14/19,765.89
  6. Step 6: Final answer
    x = 10,946.22

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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.