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Finding the Fourth Proportional to 8,450.74, 11,658.45 and 5,657.14

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Solution

The fourth proportional to 8,450.74, 11,658.45 and 5,657.14 is: 7,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.74 : 11,658.45 = 5,657.14 : x
  2. Step 2: Convert to fraction form
    8,450.74/11,658.45 = 5,657.14/x
  3. Step 3: Cross multiply
    8,450.74x = 11,658.45 × 5,657.14
  4. Step 4: Simplify right side
    8,450.74x = 65,953,483.83
  5. Step 5: Solve for x
    x = 65,953,483.83/8,450.74
  6. Step 6: Final answer
    x = 7,804.46

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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.