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Finding the Fourth Proportional to 8,490.94, 12,736.76 and 4,046.32

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Solution

The fourth proportional to 8,490.94, 12,736.76 and 4,046.32 is: 6,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.94 : 12,736.76 = 4,046.32 : x
  2. Step 2: Convert to fraction form
    8,490.94/12,736.76 = 4,046.32/x
  3. Step 3: Cross multiply
    8,490.94x = 12,736.76 × 4,046.32
  4. Step 4: Simplify right side
    8,490.94x = 51,537,006.72
  5. Step 5: Solve for x
    x = 51,537,006.72/8,490.94
  6. Step 6: Final answer
    x = 6,069.65

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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.