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Finding the Fourth Proportional to 19,883.24, 29,827.72 and 7,402.20

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Solution

The fourth proportional to 19,883.24, 29,827.72 and 7,402.20 is: 11,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.24 : 29,827.72 = 7,402.20 : x
  2. Step 2: Convert to fraction form
    19,883.24/29,827.72 = 7,402.20/x
  3. Step 3: Cross multiply
    19,883.24x = 29,827.72 × 7,402.20
  4. Step 4: Simplify right side
    19,883.24x = 220,790,748.98
  5. Step 5: Solve for x
    x = 220,790,748.98/19,883.24
  6. Step 6: Final answer
    x = 11,104.36

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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.