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Finding the Fourth Proportional to 20,715, 31,012.56 and 15,804.24

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Solution

The fourth proportional to 20,715, 31,012.56 and 15,804.24 is: 23,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715 : 31,012.56 = 15,804.24 : x
  2. Step 2: Convert to fraction form
    20,715/31,012.56 = 15,804.24/x
  3. Step 3: Cross multiply
    20,715x = 31,012.56 × 15,804.24
  4. Step 4: Simplify right side
    20,715x = 490,129,941.25
  5. Step 5: Solve for x
    x = 490,129,941.25/20,715
  6. Step 6: Final answer
    x = 23,660.63

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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.