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Finding the Fourth Proportional to 6,434.63, 8,879.91 and 5,019.92

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Solution

The fourth proportional to 6,434.63, 8,879.91 and 5,019.92 is: 6,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.63 : 8,879.91 = 5,019.92 : x
  2. Step 2: Convert to fraction form
    6,434.63/8,879.91 = 5,019.92/x
  3. Step 3: Cross multiply
    6,434.63x = 8,879.91 × 5,019.92
  4. Step 4: Simplify right side
    6,434.63x = 44,576,393.41
  5. Step 5: Solve for x
    x = 44,576,393.41/6,434.63
  6. Step 6: Final answer
    x = 6,927.57

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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.