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Finding the Fourth Proportional to 7,707.77, 10,636.72 and 4,170.98

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Solution

The fourth proportional to 7,707.77, 10,636.72 and 4,170.98 is: 5,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.77 : 10,636.72 = 4,170.98 : x
  2. Step 2: Convert to fraction form
    7,707.77/10,636.72 = 4,170.98/x
  3. Step 3: Cross multiply
    7,707.77x = 10,636.72 × 4,170.98
  4. Step 4: Simplify right side
    7,707.77x = 44,365,546.39
  5. Step 5: Solve for x
    x = 44,365,546.39/7,707.77
  6. Step 6: Final answer
    x = 5,755.95

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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.