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Finding the Fourth Proportional to 15,075.83, 20,804.36 and 8,269.88

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Solution

The fourth proportional to 15,075.83, 20,804.36 and 8,269.88 is: 11,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.83 : 20,804.36 = 8,269.88 : x
  2. Step 2: Convert to fraction form
    15,075.83/20,804.36 = 8,269.88/x
  3. Step 3: Cross multiply
    15,075.83x = 20,804.36 × 8,269.88
  4. Step 4: Simplify right side
    15,075.83x = 172,049,415.31
  5. Step 5: Solve for x
    x = 172,049,415.31/15,075.83
  6. Step 6: Final answer
    x = 11,412.27

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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.