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Finding the Fourth Proportional to 7,123, 10,683.18 and 1,928.20

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Solution

The fourth proportional to 7,123, 10,683.18 and 1,928.20 is: 2,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123 : 10,683.18 = 1,928.20 : x
  2. Step 2: Convert to fraction form
    7,123/10,683.18 = 1,928.20/x
  3. Step 3: Cross multiply
    7,123x = 10,683.18 × 1,928.20
  4. Step 4: Simplify right side
    7,123x = 20,599,307.68
  5. Step 5: Solve for x
    x = 20,599,307.68/7,123
  6. Step 6: Final answer
    x = 2,891.94

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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.