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Finding the Fourth Proportional to 2,739.69, 3,780.71 and 1,605.64

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Solution

The fourth proportional to 2,739.69, 3,780.71 and 1,605.64 is: 2,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.69 : 3,780.71 = 1,605.64 : x
  2. Step 2: Convert to fraction form
    2,739.69/3,780.71 = 1,605.64/x
  3. Step 3: Cross multiply
    2,739.69x = 3,780.71 × 1,605.64
  4. Step 4: Simplify right side
    2,739.69x = 6,070,459.20
  5. Step 5: Solve for x
    x = 6,070,459.20/2,739.69
  6. Step 6: Final answer
    x = 2,215.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.