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Finding the Fourth Proportional to 20,729.70, 31,106.70 and 7,583.40

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Solution

The fourth proportional to 20,729.70, 31,106.70 and 7,583.40 is: 11,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729.70 : 31,106.70 = 7,583.40 : x
  2. Step 2: Convert to fraction form
    20,729.70/31,106.70 = 7,583.40/x
  3. Step 3: Cross multiply
    20,729.70x = 31,106.70 × 7,583.40
  4. Step 4: Simplify right side
    20,729.70x = 235,894,548.78
  5. Step 5: Solve for x
    x = 235,894,548.78/20,729.70
  6. Step 6: Final answer
    x = 11,379.54

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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.