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Finding the Fourth Proportional to 2,486.42, 3,720 and 1,794.68

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Solution

The fourth proportional to 2,486.42, 3,720 and 1,794.68 is: 2,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.42 : 3,720 = 1,794.68 : x
  2. Step 2: Convert to fraction form
    2,486.42/3,720 = 1,794.68/x
  3. Step 3: Cross multiply
    2,486.42x = 3,720 × 1,794.68
  4. Step 4: Simplify right side
    2,486.42x = 6,676,209.60
  5. Step 5: Solve for x
    x = 6,676,209.60/2,486.42
  6. Step 6: Final answer
    x = 2,685.07

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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.