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Finding the Fourth Proportional to 2,607.60, 3,906.36 and 1,740

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Solution

The fourth proportional to 2,607.60, 3,906.36 and 1,740 is: 2,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.60 : 3,906.36 = 1,740 : x
  2. Step 2: Convert to fraction form
    2,607.60/3,906.36 = 1,740/x
  3. Step 3: Cross multiply
    2,607.60x = 3,906.36 × 1,740
  4. Step 4: Simplify right side
    2,607.60x = 6,797,066.40
  5. Step 5: Solve for x
    x = 6,797,066.40/2,607.60
  6. Step 6: Final answer
    x = 2,606.64

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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.