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Finding the Fourth Proportional to 6,873.72, 9,486.36 and 4,774.20

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Solution

The fourth proportional to 6,873.72, 9,486.36 and 4,774.20 is: 6,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.72 : 9,486.36 = 4,774.20 : x
  2. Step 2: Convert to fraction form
    6,873.72/9,486.36 = 4,774.20/x
  3. Step 3: Cross multiply
    6,873.72x = 9,486.36 × 4,774.20
  4. Step 4: Simplify right side
    6,873.72x = 45,289,779.91
  5. Step 5: Solve for x
    x = 45,289,779.91/6,873.72
  6. Step 6: Final answer
    x = 6,588.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.