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Finding the Fourth Proportional to 7,345.42, 10,136.46 and 4,201.42

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Solution

The fourth proportional to 7,345.42, 10,136.46 and 4,201.42 is: 5,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.42 : 10,136.46 = 4,201.42 : x
  2. Step 2: Convert to fraction form
    7,345.42/10,136.46 = 4,201.42/x
  3. Step 3: Cross multiply
    7,345.42x = 10,136.46 × 4,201.42
  4. Step 4: Simplify right side
    7,345.42x = 42,587,525.77
  5. Step 5: Solve for x
    x = 42,587,525.77/7,345.42
  6. Step 6: Final answer
    x = 5,797.83

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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.