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Finding the Fourth Proportional to 3,206.88, 4,806.48 and 1,888.80

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Solution

The fourth proportional to 3,206.88, 4,806.48 and 1,888.80 is: 2,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.88 : 4,806.48 = 1,888.80 : x
  2. Step 2: Convert to fraction form
    3,206.88/4,806.48 = 1,888.80/x
  3. Step 3: Cross multiply
    3,206.88x = 4,806.48 × 1,888.80
  4. Step 4: Simplify right side
    3,206.88x = 9,078,479.42
  5. Step 5: Solve for x
    x = 9,078,479.42/3,206.88
  6. Step 6: Final answer
    x = 2,830.94

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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.