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Finding the Fourth Proportional to 8,678.29, 11,976.03 and 4,699.41

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Solution

The fourth proportional to 8,678.29, 11,976.03 and 4,699.41 is: 6,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.29 : 11,976.03 = 4,699.41 : x
  2. Step 2: Convert to fraction form
    8,678.29/11,976.03 = 4,699.41/x
  3. Step 3: Cross multiply
    8,678.29x = 11,976.03 × 4,699.41
  4. Step 4: Simplify right side
    8,678.29x = 56,280,275.14
  5. Step 5: Solve for x
    x = 56,280,275.14/8,678.29
  6. Step 6: Final answer
    x = 6,485.18

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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.