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Finding the Fourth Proportional to 8,050.53, 12,048.80 and 7,743.81

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Solution

The fourth proportional to 8,050.53, 12,048.80 and 7,743.81 is: 11,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.53 : 12,048.80 = 7,743.81 : x
  2. Step 2: Convert to fraction form
    8,050.53/12,048.80 = 7,743.81/x
  3. Step 3: Cross multiply
    8,050.53x = 12,048.80 × 7,743.81
  4. Step 4: Simplify right side
    8,050.53x = 93,303,579.21
  5. Step 5: Solve for x
    x = 93,303,579.21/8,050.53
  6. Step 6: Final answer
    x = 11,589.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.