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Finding the Fourth Proportional to 19,883.84, 27,441.04 and 13,157.86

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Solution

The fourth proportional to 19,883.84, 27,441.04 and 13,157.86 is: 18,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.84 : 27,441.04 = 13,157.86 : x
  2. Step 2: Convert to fraction form
    19,883.84/27,441.04 = 13,157.86/x
  3. Step 3: Cross multiply
    19,883.84x = 27,441.04 × 13,157.86
  4. Step 4: Simplify right side
    19,883.84x = 361,065,362.57
  5. Step 5: Solve for x
    x = 361,065,362.57/19,883.84
  6. Step 6: Final answer
    x = 18,158.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.