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Finding the Fourth Proportional to 14,645.85, 21,983.36 and 8,075.13

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Solution

The fourth proportional to 14,645.85, 21,983.36 and 8,075.13 is: 12,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.85 : 21,983.36 = 8,075.13 : x
  2. Step 2: Convert to fraction form
    14,645.85/21,983.36 = 8,075.13/x
  3. Step 3: Cross multiply
    14,645.85x = 21,983.36 × 8,075.13
  4. Step 4: Simplify right side
    14,645.85x = 177,518,449.46
  5. Step 5: Solve for x
    x = 177,518,449.46/14,645.85
  6. Step 6: Final answer
    x = 12,120.73

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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.