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Finding the Fourth Proportional to 13,934.64, 20,978 and 12,709.92

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Solution

The fourth proportional to 13,934.64, 20,978 and 12,709.92 is: 19,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.64 : 20,978 = 12,709.92 : x
  2. Step 2: Convert to fraction form
    13,934.64/20,978 = 12,709.92/x
  3. Step 3: Cross multiply
    13,934.64x = 20,978 × 12,709.92
  4. Step 4: Simplify right side
    13,934.64x = 266,628,701.76
  5. Step 5: Solve for x
    x = 266,628,701.76/13,934.64
  6. Step 6: Final answer
    x = 19,134.24

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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.