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Finding the Fourth Proportional to 6,878.09, 9,491.60 and 3,894.66

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Solution

The fourth proportional to 6,878.09, 9,491.60 and 3,894.66 is: 5,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.09 : 9,491.60 = 3,894.66 : x
  2. Step 2: Convert to fraction form
    6,878.09/9,491.60 = 3,894.66/x
  3. Step 3: Cross multiply
    6,878.09x = 9,491.60 × 3,894.66
  4. Step 4: Simplify right side
    6,878.09x = 36,966,564.59
  5. Step 5: Solve for x
    x = 36,966,564.59/6,878.09
  6. Step 6: Final answer
    x = 5,374.54

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1.5x scale

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.