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Finding the Fourth Proportional to 14,344.80, 19,791.54 and 8,681.64

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Solution

The fourth proportional to 14,344.80, 19,791.54 and 8,681.64 is: 11,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.80 : 19,791.54 = 8,681.64 : x
  2. Step 2: Convert to fraction form
    14,344.80/19,791.54 = 8,681.64/x
  3. Step 3: Cross multiply
    14,344.80x = 19,791.54 × 8,681.64
  4. Step 4: Simplify right side
    14,344.80x = 171,823,025.33
  5. Step 5: Solve for x
    x = 171,823,025.33/14,344.80
  6. Step 6: Final answer
    x = 11,978.07

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1.5x scale

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.