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Finding the Fourth Proportional to 2,705.60, 4,063.20 and 2,090.80

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Solution

The fourth proportional to 2,705.60, 4,063.20 and 2,090.80 is: 3,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.60 : 4,063.20 = 2,090.80 : x
  2. Step 2: Convert to fraction form
    2,705.60/4,063.20 = 2,090.80/x
  3. Step 3: Cross multiply
    2,705.60x = 4,063.20 × 2,090.80
  4. Step 4: Simplify right side
    2,705.60x = 8,495,338.56
  5. Step 5: Solve for x
    x = 8,495,338.56/2,705.60
  6. Step 6: Final answer
    x = 3,139.91

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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.