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Finding the Fourth Proportional to 2,899.25, 4,349.60 and 847.25

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Solution

The fourth proportional to 2,899.25, 4,349.60 and 847.25 is: 1,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.25 : 4,349.60 = 847.25 : x
  2. Step 2: Convert to fraction form
    2,899.25/4,349.60 = 847.25/x
  3. Step 3: Cross multiply
    2,899.25x = 4,349.60 × 847.25
  4. Step 4: Simplify right side
    2,899.25x = 3,685,194.36
  5. Step 5: Solve for x
    x = 3,685,194.36/2,899.25
  6. Step 6: Final answer
    x = 1,271.09

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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.