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Finding the Fourth Proportional to 19,731.30, 29,595.60 and 6,404.10

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Solution

The fourth proportional to 19,731.30, 29,595.60 and 6,404.10 is: 9,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.30 : 29,595.60 = 6,404.10 : x
  2. Step 2: Convert to fraction form
    19,731.30/29,595.60 = 6,404.10/x
  3. Step 3: Cross multiply
    19,731.30x = 29,595.60 × 6,404.10
  4. Step 4: Simplify right side
    19,731.30x = 189,533,181.96
  5. Step 5: Solve for x
    x = 189,533,181.96/19,731.30
  6. Step 6: Final answer
    x = 9,605.71

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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.