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Finding the Fourth Proportional to 13,992.72, 19,310.76 and 7,705.20

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Solution

The fourth proportional to 13,992.72, 19,310.76 and 7,705.20 is: 10,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.72 : 19,310.76 = 7,705.20 : x
  2. Step 2: Convert to fraction form
    13,992.72/19,310.76 = 7,705.20/x
  3. Step 3: Cross multiply
    13,992.72x = 19,310.76 × 7,705.20
  4. Step 4: Simplify right side
    13,992.72x = 148,793,267.95
  5. Step 5: Solve for x
    x = 148,793,267.95/13,992.72
  6. Step 6: Final answer
    x = 10,633.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.