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Finding the Fourth Proportional to 10,536.97, 15,813.23 and 4,990.30

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Solution

The fourth proportional to 10,536.97, 15,813.23 and 4,990.30 is: 7,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.97 : 15,813.23 = 4,990.30 : x
  2. Step 2: Convert to fraction form
    10,536.97/15,813.23 = 4,990.30/x
  3. Step 3: Cross multiply
    10,536.97x = 15,813.23 × 4,990.30
  4. Step 4: Simplify right side
    10,536.97x = 78,912,741.66
  5. Step 5: Solve for x
    x = 78,912,741.66/10,536.97
  6. Step 6: Final answer
    x = 7,489.13

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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.