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Finding the Fourth Proportional to 20,762.40, 31,138.93 and 5,968.02

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Solution

The fourth proportional to 20,762.40, 31,138.93 and 5,968.02 is: 8,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.40 : 31,138.93 = 5,968.02 : x
  2. Step 2: Convert to fraction form
    20,762.40/31,138.93 = 5,968.02/x
  3. Step 3: Cross multiply
    20,762.40x = 31,138.93 × 5,968.02
  4. Step 4: Simplify right side
    20,762.40x = 185,837,757.02
  5. Step 5: Solve for x
    x = 185,837,757.02/20,762.40
  6. Step 6: Final answer
    x = 8,950.69

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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.