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Finding the Fourth Proportional to 12,969.63, 19,453.64 and 6,390

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Solution

The fourth proportional to 12,969.63, 19,453.64 and 6,390 is: 9,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.63 : 19,453.64 = 6,390 : x
  2. Step 2: Convert to fraction form
    12,969.63/19,453.64 = 6,390/x
  3. Step 3: Cross multiply
    12,969.63x = 19,453.64 × 6,390
  4. Step 4: Simplify right side
    12,969.63x = 124,308,727.65
  5. Step 5: Solve for x
    x = 124,308,727.65/12,969.63
  6. Step 6: Final answer
    x = 9,584.60

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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.