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Finding the Fourth Proportional to 6,511.34, 8,985.76 and 3,678.62

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Solution

The fourth proportional to 6,511.34, 8,985.76 and 3,678.62 is: 5,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.34 : 8,985.76 = 3,678.62 : x
  2. Step 2: Convert to fraction form
    6,511.34/8,985.76 = 3,678.62/x
  3. Step 3: Cross multiply
    6,511.34x = 8,985.76 × 3,678.62
  4. Step 4: Simplify right side
    6,511.34x = 33,055,196.45
  5. Step 5: Solve for x
    x = 33,055,196.45/6,511.34
  6. Step 6: Final answer
    x = 5,076.56

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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.