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Finding the Fourth Proportional to 19,819.88, 29,720.06 and 9,813.05

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Solution

The fourth proportional to 19,819.88, 29,720.06 and 9,813.05 is: 14,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.88 : 29,720.06 = 9,813.05 : x
  2. Step 2: Convert to fraction form
    19,819.88/29,720.06 = 9,813.05/x
  3. Step 3: Cross multiply
    19,819.88x = 29,720.06 × 9,813.05
  4. Step 4: Simplify right side
    19,819.88x = 291,644,237.12
  5. Step 5: Solve for x
    x = 291,644,237.12/19,819.88
  6. Step 6: Final answer
    x = 14,714.74

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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.