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Finding the Fourth Proportional to 7,123, 10,679.40 and 2,189.98

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Solution

The fourth proportional to 7,123, 10,679.40 and 2,189.98 is: 3,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123 : 10,679.40 = 2,189.98 : x
  2. Step 2: Convert to fraction form
    7,123/10,679.40 = 2,189.98/x
  3. Step 3: Cross multiply
    7,123x = 10,679.40 × 2,189.98
  4. Step 4: Simplify right side
    7,123x = 23,387,672.41
  5. Step 5: Solve for x
    x = 23,387,672.41/7,123
  6. Step 6: Final answer
    x = 3,283.40

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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.