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Finding the Fourth Proportional to 12,477.06, 17,214.15 and 7,761

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Solution

The fourth proportional to 12,477.06, 17,214.15 and 7,761 is: 10,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.06 : 17,214.15 = 7,761 : x
  2. Step 2: Convert to fraction form
    12,477.06/17,214.15 = 7,761/x
  3. Step 3: Cross multiply
    12,477.06x = 17,214.15 × 7,761
  4. Step 4: Simplify right side
    12,477.06x = 133,599,018.15
  5. Step 5: Solve for x
    x = 133,599,018.15/12,477.06
  6. Step 6: Final answer
    x = 10,707.57

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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.