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Finding the Fourth Proportional to 19,729.64, 29,594.16 and 5,878.64

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Solution

The fourth proportional to 19,729.64, 29,594.16 and 5,878.64 is: 8,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.64 : 29,594.16 = 5,878.64 : x
  2. Step 2: Convert to fraction form
    19,729.64/29,594.16 = 5,878.64/x
  3. Step 3: Cross multiply
    19,729.64x = 29,594.16 × 5,878.64
  4. Step 4: Simplify right side
    19,729.64x = 173,973,412.74
  5. Step 5: Solve for x
    x = 173,973,412.74/19,729.64
  6. Step 6: Final answer
    x = 8,817.87

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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.