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Finding the Fourth Proportional to 10,447.26, 15,764.05 and 10,042.26

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Solution

The fourth proportional to 10,447.26, 15,764.05 and 10,042.26 is: 15,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.26 : 15,764.05 = 10,042.26 : x
  2. Step 2: Convert to fraction form
    10,447.26/15,764.05 = 10,042.26/x
  3. Step 3: Cross multiply
    10,447.26x = 15,764.05 × 10,042.26
  4. Step 4: Simplify right side
    10,447.26x = 158,306,688.75
  5. Step 5: Solve for x
    x = 158,306,688.75/10,447.26
  6. Step 6: Final answer
    x = 15,152.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.