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Finding the Fourth Proportional to 11,649.21, 16,075.94 and 6,343.98

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Solution

The fourth proportional to 11,649.21, 16,075.94 and 6,343.98 is: 8,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.21 : 16,075.94 = 6,343.98 : x
  2. Step 2: Convert to fraction form
    11,649.21/16,075.94 = 6,343.98/x
  3. Step 3: Cross multiply
    11,649.21x = 16,075.94 × 6,343.98
  4. Step 4: Simplify right side
    11,649.21x = 101,985,410.12
  5. Step 5: Solve for x
    x = 101,985,410.12/11,649.21
  6. Step 6: Final answer
    x = 8,754.71

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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.