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Finding the Fourth Proportional to 2,854.58, 4,282.26 and 906.80

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Solution

The fourth proportional to 2,854.58, 4,282.26 and 906.80 is: 1,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.58 : 4,282.26 = 906.80 : x
  2. Step 2: Convert to fraction form
    2,854.58/4,282.26 = 906.80/x
  3. Step 3: Cross multiply
    2,854.58x = 4,282.26 × 906.80
  4. Step 4: Simplify right side
    2,854.58x = 3,883,153.37
  5. Step 5: Solve for x
    x = 3,883,153.37/2,854.58
  6. Step 6: Final answer
    x = 1,360.32

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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.