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Finding the Fourth Proportional to 5,675.90, 7,832.93 and 3,123.76

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Solution

The fourth proportional to 5,675.90, 7,832.93 and 3,123.76 is: 4,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.90 : 7,832.93 = 3,123.76 : x
  2. Step 2: Convert to fraction form
    5,675.90/7,832.93 = 3,123.76/x
  3. Step 3: Cross multiply
    5,675.90x = 7,832.93 × 3,123.76
  4. Step 4: Simplify right side
    5,675.90x = 24,468,158.22
  5. Step 5: Solve for x
    x = 24,468,158.22/5,675.90
  6. Step 6: Final answer
    x = 4,310.89

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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.