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Finding the Fourth Proportional to 9,977.92, 14,968 and 8,144.64

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Solution

The fourth proportional to 9,977.92, 14,968 and 8,144.64 is: 12,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.92 : 14,968 = 8,144.64 : x
  2. Step 2: Convert to fraction form
    9,977.92/14,968 = 8,144.64/x
  3. Step 3: Cross multiply
    9,977.92x = 14,968 × 8,144.64
  4. Step 4: Simplify right side
    9,977.92x = 121,908,971.52
  5. Step 5: Solve for x
    x = 121,908,971.52/9,977.92
  6. Step 6: Final answer
    x = 12,217.87

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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.