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Finding the Fourth Proportional to 6,142.62, 9,218.19 and 2,444.51

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Solution

The fourth proportional to 6,142.62, 9,218.19 and 2,444.51 is: 3,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.62 : 9,218.19 = 2,444.51 : x
  2. Step 2: Convert to fraction form
    6,142.62/9,218.19 = 2,444.51/x
  3. Step 3: Cross multiply
    6,142.62x = 9,218.19 × 2,444.51
  4. Step 4: Simplify right side
    6,142.62x = 22,533,911.55
  5. Step 5: Solve for x
    x = 22,533,911.55/6,142.62
  6. Step 6: Final answer
    x = 3,668.45

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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.