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Finding the Fourth Proportional to 19,616.75, 29,430.12 and 5,765.75

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Solution

The fourth proportional to 19,616.75, 29,430.12 and 5,765.75 is: 8,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.75 : 29,430.12 = 5,765.75 : x
  2. Step 2: Convert to fraction form
    19,616.75/29,430.12 = 5,765.75/x
  3. Step 3: Cross multiply
    19,616.75x = 29,430.12 × 5,765.75
  4. Step 4: Simplify right side
    19,616.75x = 169,686,714.39
  5. Step 5: Solve for x
    x = 169,686,714.39/19,616.75
  6. Step 6: Final answer
    x = 8,650.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.