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Finding the Fourth Proportional to 8,012.90, 12,019.29 and 2,169.50

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Solution

The fourth proportional to 8,012.90, 12,019.29 and 2,169.50 is: 3,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.90 : 12,019.29 = 2,169.50 : x
  2. Step 2: Convert to fraction form
    8,012.90/12,019.29 = 2,169.50/x
  3. Step 3: Cross multiply
    8,012.90x = 12,019.29 × 2,169.50
  4. Step 4: Simplify right side
    8,012.90x = 26,075,849.66
  5. Step 5: Solve for x
    x = 26,075,849.66/8,012.90
  6. Step 6: Final answer
    x = 3,254.23

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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.