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Finding the Fourth Proportional to 6,511.32, 8,978.61 and 6,374.61

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Solution

The fourth proportional to 6,511.32, 8,978.61 and 6,374.61 is: 8,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.32 : 8,978.61 = 6,374.61 : x
  2. Step 2: Convert to fraction form
    6,511.32/8,978.61 = 6,374.61/x
  3. Step 3: Cross multiply
    6,511.32x = 8,978.61 × 6,374.61
  4. Step 4: Simplify right side
    6,511.32x = 57,235,137.09
  5. Step 5: Solve for x
    x = 57,235,137.09/6,511.32
  6. Step 6: Final answer
    x = 8,790.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.