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Finding the Fourth Proportional to 19,533.80, 29,278.22 and 9,679.54

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Solution

The fourth proportional to 19,533.80, 29,278.22 and 9,679.54 is: 14,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.80 : 29,278.22 = 9,679.54 : x
  2. Step 2: Convert to fraction form
    19,533.80/29,278.22 = 9,679.54/x
  3. Step 3: Cross multiply
    19,533.80x = 29,278.22 × 9,679.54
  4. Step 4: Simplify right side
    19,533.80x = 283,399,701.62
  5. Step 5: Solve for x
    x = 283,399,701.62/19,533.80
  6. Step 6: Final answer
    x = 14,508.17

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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.