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Finding the Fourth Proportional to 15,075.84, 20,804.64 and 8,362.49

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Solution

The fourth proportional to 15,075.84, 20,804.64 and 8,362.49 is: 11,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.84 : 20,804.64 = 8,362.49 : x
  2. Step 2: Convert to fraction form
    15,075.84/20,804.64 = 8,362.49/x
  3. Step 3: Cross multiply
    15,075.84x = 20,804.64 × 8,362.49
  4. Step 4: Simplify right side
    15,075.84x = 173,978,593.95
  5. Step 5: Solve for x
    x = 173,978,593.95/15,075.84
  6. Step 6: Final answer
    x = 11,540.23

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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.