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Finding the Fourth Proportional to 8,649.69, 11,935.86 and 4,871.65

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Solution

The fourth proportional to 8,649.69, 11,935.86 and 4,871.65 is: 6,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.69 : 11,935.86 = 4,871.65 : x
  2. Step 2: Convert to fraction form
    8,649.69/11,935.86 = 4,871.65/x
  3. Step 3: Cross multiply
    8,649.69x = 11,935.86 × 4,871.65
  4. Step 4: Simplify right side
    8,649.69x = 58,147,332.37
  5. Step 5: Solve for x
    x = 58,147,332.37/8,649.69
  6. Step 6: Final answer
    x = 6,722.48

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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.