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Finding the Fourth Proportional to 5,190.42, 7,779.72 and 4,564.49

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Solution

The fourth proportional to 5,190.42, 7,779.72 and 4,564.49 is: 6,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.42 : 7,779.72 = 4,564.49 : x
  2. Step 2: Convert to fraction form
    5,190.42/7,779.72 = 4,564.49/x
  3. Step 3: Cross multiply
    5,190.42x = 7,779.72 × 4,564.49
  4. Step 4: Simplify right side
    5,190.42x = 35,510,444.42
  5. Step 5: Solve for x
    x = 35,510,444.42/5,190.42
  6. Step 6: Final answer
    x = 6,841.54

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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.