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Finding the Fourth Proportional to 2,509.39, 3,762.71 and 1,992.71

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Solution

The fourth proportional to 2,509.39, 3,762.71 and 1,992.71 is: 2,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.39 : 3,762.71 = 1,992.71 : x
  2. Step 2: Convert to fraction form
    2,509.39/3,762.71 = 1,992.71/x
  3. Step 3: Cross multiply
    2,509.39x = 3,762.71 × 1,992.71
  4. Step 4: Simplify right side
    2,509.39x = 7,497,961.07
  5. Step 5: Solve for x
    x = 7,497,961.07/2,509.39
  6. Step 6: Final answer
    x = 2,987.97

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1.5x scale

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.