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Finding the Fourth Proportional to 8,479.56, 11,702.43 and 4,942.02

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Solution

The fourth proportional to 8,479.56, 11,702.43 and 4,942.02 is: 6,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,479.56 : 11,702.43 = 4,942.02 : x
  2. Step 2: Convert to fraction form
    8,479.56/11,702.43 = 4,942.02/x
  3. Step 3: Cross multiply
    8,479.56x = 11,702.43 × 4,942.02
  4. Step 4: Simplify right side
    8,479.56x = 57,833,643.11
  5. Step 5: Solve for x
    x = 57,833,643.11/8,479.56
  6. Step 6: Final answer
    x = 6,820.36

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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.