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Finding the Fourth Proportional to 2,712.60, 4,070.04 and 1,740.60

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Solution

The fourth proportional to 2,712.60, 4,070.04 and 1,740.60 is: 2,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.60 : 4,070.04 = 1,740.60 : x
  2. Step 2: Convert to fraction form
    2,712.60/4,070.04 = 1,740.60/x
  3. Step 3: Cross multiply
    2,712.60x = 4,070.04 × 1,740.60
  4. Step 4: Simplify right side
    2,712.60x = 7,084,311.62
  5. Step 5: Solve for x
    x = 7,084,311.62/2,712.60
  6. Step 6: Final answer
    x = 2,611.63

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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.