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Finding the Fourth Proportional to 19,899.21, 29,850.76 and 7,416.31

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Solution

The fourth proportional to 19,899.21, 29,850.76 and 7,416.31 is: 11,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,899.21 : 29,850.76 = 7,416.31 : x
  2. Step 2: Convert to fraction form
    19,899.21/29,850.76 = 7,416.31/x
  3. Step 3: Cross multiply
    19,899.21x = 29,850.76 × 7,416.31
  4. Step 4: Simplify right side
    19,899.21x = 221,382,500.43
  5. Step 5: Solve for x
    x = 221,382,500.43/19,899.21
  6. Step 6: Final answer
    x = 11,125.19

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Why These Related Problems?

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