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Finding the Fourth Proportional to 20,715, 28,586.76 and 11,283.58

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Solution

The fourth proportional to 20,715, 28,586.76 and 11,283.58 is: 15,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715 : 28,586.76 = 11,283.58 : x
  2. Step 2: Convert to fraction form
    20,715/28,586.76 = 11,283.58/x
  3. Step 3: Cross multiply
    20,715x = 28,586.76 × 11,283.58
  4. Step 4: Simplify right side
    20,715x = 322,560,993.40
  5. Step 5: Solve for x
    x = 322,560,993.40/20,715
  6. Step 6: Final answer
    x = 15,571.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.