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Finding the Fourth Proportional to 2,855.25, 4,284.50 and 1,316.25

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Solution

The fourth proportional to 2,855.25, 4,284.50 and 1,316.25 is: 1,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.25 : 4,284.50 = 1,316.25 : x
  2. Step 2: Convert to fraction form
    2,855.25/4,284.50 = 1,316.25/x
  3. Step 3: Cross multiply
    2,855.25x = 4,284.50 × 1,316.25
  4. Step 4: Simplify right side
    2,855.25x = 5,639,466.54
  5. Step 5: Solve for x
    x = 5,639,466.54/2,855.25
  6. Step 6: Final answer
    x = 1,975.12

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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.