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Finding the Fourth Proportional to 6,409.53, 8,846.42 and 4,050

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Solution

The fourth proportional to 6,409.53, 8,846.42 and 4,050 is: 5,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.53 : 8,846.42 = 4,050 : x
  2. Step 2: Convert to fraction form
    6,409.53/8,846.42 = 4,050/x
  3. Step 3: Cross multiply
    6,409.53x = 8,846.42 × 4,050
  4. Step 4: Simplify right side
    6,409.53x = 35,827,980.75
  5. Step 5: Solve for x
    x = 35,827,980.75/6,409.53
  6. Step 6: Final answer
    x = 5,589.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.