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Finding the Fourth Proportional to 6,855.61, 9,460.74 and 3,711.79

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Solution

The fourth proportional to 6,855.61, 9,460.74 and 3,711.79 is: 5,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.61 : 9,460.74 = 3,711.79 : x
  2. Step 2: Convert to fraction form
    6,855.61/9,460.74 = 3,711.79/x
  3. Step 3: Cross multiply
    6,855.61x = 9,460.74 × 3,711.79
  4. Step 4: Simplify right side
    6,855.61x = 35,116,280.12
  5. Step 5: Solve for x
    x = 35,116,280.12/6,855.61
  6. Step 6: Final answer
    x = 5,122.27

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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.