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Finding the Fourth Proportional to 7,708.51, 11,578.43 and 6,804.55

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Solution

The fourth proportional to 7,708.51, 11,578.43 and 6,804.55 is: 10,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.51 : 11,578.43 = 6,804.55 : x
  2. Step 2: Convert to fraction form
    7,708.51/11,578.43 = 6,804.55/x
  3. Step 3: Cross multiply
    7,708.51x = 11,578.43 × 6,804.55
  4. Step 4: Simplify right side
    7,708.51x = 78,786,005.86
  5. Step 5: Solve for x
    x = 78,786,005.86/7,708.51
  6. Step 6: Final answer
    x = 10,220.65

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1.5x scale

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.