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Finding the Fourth Proportional to 2,904.39, 4,355.78 and 2,080.22

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Solution

The fourth proportional to 2,904.39, 4,355.78 and 2,080.22 is: 3,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.39 : 4,355.78 = 2,080.22 : x
  2. Step 2: Convert to fraction form
    2,904.39/4,355.78 = 2,080.22/x
  3. Step 3: Cross multiply
    2,904.39x = 4,355.78 × 2,080.22
  4. Step 4: Simplify right side
    2,904.39x = 9,060,948.49
  5. Step 5: Solve for x
    x = 9,060,948.49/2,904.39
  6. Step 6: Final answer
    x = 3,119.74

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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.