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Finding the Fourth Proportional to 7,657.16, 11,471.13 and 5,187.74

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Solution

The fourth proportional to 7,657.16, 11,471.13 and 5,187.74 is: 7,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.16 : 11,471.13 = 5,187.74 : x
  2. Step 2: Convert to fraction form
    7,657.16/11,471.13 = 5,187.74/x
  3. Step 3: Cross multiply
    7,657.16x = 11,471.13 × 5,187.74
  4. Step 4: Simplify right side
    7,657.16x = 59,509,239.95
  5. Step 5: Solve for x
    x = 59,509,239.95/7,657.16
  6. Step 6: Final answer
    x = 7,771.71

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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.