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Finding the Fourth Proportional to 19,765.22, 29,648.31 and 7,756.86

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Solution

The fourth proportional to 19,765.22, 29,648.31 and 7,756.86 is: 11,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.22 : 29,648.31 = 7,756.86 : x
  2. Step 2: Convert to fraction form
    19,765.22/29,648.31 = 7,756.86/x
  3. Step 3: Cross multiply
    19,765.22x = 29,648.31 × 7,756.86
  4. Step 4: Simplify right side
    19,765.22x = 229,977,751.12
  5. Step 5: Solve for x
    x = 229,977,751.12/19,765.22
  6. Step 6: Final answer
    x = 11,635.48

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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.