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Finding the Fourth Proportional to 15,075, 20,803.50 and 8,451

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Solution

The fourth proportional to 15,075, 20,803.50 and 8,451 is: 11,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075 : 20,803.50 = 8,451 : x
  2. Step 2: Convert to fraction form
    15,075/20,803.50 = 8,451/x
  3. Step 3: Cross multiply
    15,075x = 20,803.50 × 8,451
  4. Step 4: Simplify right side
    15,075x = 175,810,378.50
  5. Step 5: Solve for x
    x = 175,810,378.50/15,075
  6. Step 6: Final answer
    x = 11,662.38

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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.