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Finding the Fourth Proportional to 7,785.81, 10,749.98 and 4,805.69

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Solution

The fourth proportional to 7,785.81, 10,749.98 and 4,805.69 is: 6,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.81 : 10,749.98 = 4,805.69 : x
  2. Step 2: Convert to fraction form
    7,785.81/10,749.98 = 4,805.69/x
  3. Step 3: Cross multiply
    7,785.81x = 10,749.98 × 4,805.69
  4. Step 4: Simplify right side
    7,785.81x = 51,661,029.65
  5. Step 5: Solve for x
    x = 51,661,029.65/7,785.81
  6. Step 6: Final answer
    x = 6,635.28

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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.