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Finding the Fourth Proportional to 8,072.84, 12,109.26 and 2,877.50

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Solution

The fourth proportional to 8,072.84, 12,109.26 and 2,877.50 is: 4,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.84 : 12,109.26 = 2,877.50 : x
  2. Step 2: Convert to fraction form
    8,072.84/12,109.26 = 2,877.50/x
  3. Step 3: Cross multiply
    8,072.84x = 12,109.26 × 2,877.50
  4. Step 4: Simplify right side
    8,072.84x = 34,844,395.65
  5. Step 5: Solve for x
    x = 34,844,395.65/8,072.84
  6. Step 6: Final answer
    x = 4,316.25

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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.