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Finding the Fourth Proportional to 5,675.72, 7,832.06 and 3,157.76

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Solution

The fourth proportional to 5,675.72, 7,832.06 and 3,157.76 is: 4,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.72 : 7,832.06 = 3,157.76 : x
  2. Step 2: Convert to fraction form
    5,675.72/7,832.06 = 3,157.76/x
  3. Step 3: Cross multiply
    5,675.72x = 7,832.06 × 3,157.76
  4. Step 4: Simplify right side
    5,675.72x = 24,731,781.42
  5. Step 5: Solve for x
    x = 24,731,781.42/5,675.72
  6. Step 6: Final answer
    x = 4,357.47

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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.