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Finding the Fourth Proportional to 4,843.80, 7,256.10 and 2,890.20

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Solution

The fourth proportional to 4,843.80, 7,256.10 and 2,890.20 is: 4,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.80 : 7,256.10 = 2,890.20 : x
  2. Step 2: Convert to fraction form
    4,843.80/7,256.10 = 2,890.20/x
  3. Step 3: Cross multiply
    4,843.80x = 7,256.10 × 2,890.20
  4. Step 4: Simplify right side
    4,843.80x = 20,971,580.22
  5. Step 5: Solve for x
    x = 20,971,580.22/4,843.80
  6. Step 6: Final answer
    x = 4,329.57

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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.