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Finding the Fourth Proportional to 8,462.36, 11,678.49 and 4,685.95

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Solution

The fourth proportional to 8,462.36, 11,678.49 and 4,685.95 is: 6,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.36 : 11,678.49 = 4,685.95 : x
  2. Step 2: Convert to fraction form
    8,462.36/11,678.49 = 4,685.95/x
  3. Step 3: Cross multiply
    8,462.36x = 11,678.49 × 4,685.95
  4. Step 4: Simplify right side
    8,462.36x = 54,724,820.22
  5. Step 5: Solve for x
    x = 54,724,820.22/8,462.36
  6. Step 6: Final answer
    x = 6,466.85

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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.