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Finding the Fourth Proportional to 9,415.76, 12,996.27 and 5,876.84

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Solution

The fourth proportional to 9,415.76, 12,996.27 and 5,876.84 is: 8,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.76 : 12,996.27 = 5,876.84 : x
  2. Step 2: Convert to fraction form
    9,415.76/12,996.27 = 5,876.84/x
  3. Step 3: Cross multiply
    9,415.76x = 12,996.27 × 5,876.84
  4. Step 4: Simplify right side
    9,415.76x = 76,376,999.39
  5. Step 5: Solve for x
    x = 76,376,999.39/9,415.76
  6. Step 6: Final answer
    x = 8,111.61

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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.