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Finding the Fourth Proportional to 9,978.92, 14,969.50 and 8,145.64

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Solution

The fourth proportional to 9,978.92, 14,969.50 and 8,145.64 is: 12,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.92 : 14,969.50 = 8,145.64 : x
  2. Step 2: Convert to fraction form
    9,978.92/14,969.50 = 8,145.64/x
  3. Step 3: Cross multiply
    9,978.92x = 14,969.50 × 8,145.64
  4. Step 4: Simplify right side
    9,978.92x = 121,936,157.98
  5. Step 5: Solve for x
    x = 121,936,157.98/9,978.92
  6. Step 6: Final answer
    x = 12,219.37

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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.