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Finding the Fourth Proportional to 15,977.87, 23,969.87 and 7,212.78

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Solution

The fourth proportional to 15,977.87, 23,969.87 and 7,212.78 is: 10,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.87 : 23,969.87 = 7,212.78 : x
  2. Step 2: Convert to fraction form
    15,977.87/23,969.87 = 7,212.78/x
  3. Step 3: Cross multiply
    15,977.87x = 23,969.87 × 7,212.78
  4. Step 4: Simplify right side
    15,977.87x = 172,889,416.97
  5. Step 5: Solve for x
    x = 172,889,416.97/15,977.87
  6. Step 6: Final answer
    x = 10,820.56

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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.