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Finding the Fourth Proportional to 6,920.94, 10,384.81 and 3,218.74

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Solution

The fourth proportional to 6,920.94, 10,384.81 and 3,218.74 is: 4,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.94 : 10,384.81 = 3,218.74 : x
  2. Step 2: Convert to fraction form
    6,920.94/10,384.81 = 3,218.74/x
  3. Step 3: Cross multiply
    6,920.94x = 10,384.81 × 3,218.74
  4. Step 4: Simplify right side
    6,920.94x = 33,425,969.33
  5. Step 5: Solve for x
    x = 33,425,969.33/6,920.94
  6. Step 6: Final answer
    x = 4,829.68

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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.