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Finding the Fourth Proportional to 14,561, 21,940.67 and 12,969.68

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Solution

The fourth proportional to 14,561, 21,940.67 and 12,969.68 is: 19,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561 : 21,940.67 = 12,969.68 : x
  2. Step 2: Convert to fraction form
    14,561/21,940.67 = 12,969.68/x
  3. Step 3: Cross multiply
    14,561x = 21,940.67 × 12,969.68
  4. Step 4: Simplify right side
    14,561x = 284,563,468.89
  5. Step 5: Solve for x
    x = 284,563,468.89/14,561
  6. Step 6: Final answer
    x = 19,542.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.