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Finding the Fourth Proportional to 8,209.94, 12,316.53 and 2,943.53

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Solution

The fourth proportional to 8,209.94, 12,316.53 and 2,943.53 is: 4,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.94 : 12,316.53 = 2,943.53 : x
  2. Step 2: Convert to fraction form
    8,209.94/12,316.53 = 2,943.53/x
  3. Step 3: Cross multiply
    8,209.94x = 12,316.53 × 2,943.53
  4. Step 4: Simplify right side
    8,209.94x = 36,254,075.55
  5. Step 5: Solve for x
    x = 36,254,075.55/8,209.94
  6. Step 6: Final answer
    x = 4,415.88

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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.