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Finding the Fourth Proportional to 5,424.86, 8,138.30 and 2,463.51

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Solution

The fourth proportional to 5,424.86, 8,138.30 and 2,463.51 is: 3,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.86 : 8,138.30 = 2,463.51 : x
  2. Step 2: Convert to fraction form
    5,424.86/8,138.30 = 2,463.51/x
  3. Step 3: Cross multiply
    5,424.86x = 8,138.30 × 2,463.51
  4. Step 4: Simplify right side
    5,424.86x = 20,048,769.71
  5. Step 5: Solve for x
    x = 20,048,769.71/5,424.86
  6. Step 6: Final answer
    x = 3,695.72

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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.