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Finding the Fourth Proportional to 7,122.94, 10,684.71 and 1,928.81

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Solution

The fourth proportional to 7,122.94, 10,684.71 and 1,928.81 is: 2,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.94 : 10,684.71 = 1,928.81 : x
  2. Step 2: Convert to fraction form
    7,122.94/10,684.71 = 1,928.81/x
  3. Step 3: Cross multiply
    7,122.94x = 10,684.71 × 1,928.81
  4. Step 4: Simplify right side
    7,122.94x = 20,608,802.21
  5. Step 5: Solve for x
    x = 20,608,802.21/7,122.94
  6. Step 6: Final answer
    x = 2,893.30

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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.