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Finding the Fourth Proportional to 19,515.64, 29,274.84 and 7,828.86

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Solution

The fourth proportional to 19,515.64, 29,274.84 and 7,828.86 is: 11,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,515.64 : 29,274.84 = 7,828.86 : x
  2. Step 2: Convert to fraction form
    19,515.64/29,274.84 = 7,828.86/x
  3. Step 3: Cross multiply
    19,515.64x = 29,274.84 × 7,828.86
  4. Step 4: Simplify right side
    19,515.64x = 229,188,623.88
  5. Step 5: Solve for x
    x = 229,188,623.88/19,515.64
  6. Step 6: Final answer
    x = 11,743.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.