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Finding the Fourth Proportional to 8,355.68, 12,538.92 and 3,978.08

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Solution

The fourth proportional to 8,355.68, 12,538.92 and 3,978.08 is: 5,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.68 : 12,538.92 = 3,978.08 : x
  2. Step 2: Convert to fraction form
    8,355.68/12,538.92 = 3,978.08/x
  3. Step 3: Cross multiply
    8,355.68x = 12,538.92 × 3,978.08
  4. Step 4: Simplify right side
    8,355.68x = 49,880,826.87
  5. Step 5: Solve for x
    x = 49,880,826.87/8,355.68
  6. Step 6: Final answer
    x = 5,969.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.