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Finding the Fourth Proportional to 7,992.81, 11,987.76 and 2,148.05

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Solution

The fourth proportional to 7,992.81, 11,987.76 and 2,148.05 is: 3,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.81 : 11,987.76 = 2,148.05 : x
  2. Step 2: Convert to fraction form
    7,992.81/11,987.76 = 2,148.05/x
  3. Step 3: Cross multiply
    7,992.81x = 11,987.76 × 2,148.05
  4. Step 4: Simplify right side
    7,992.81x = 25,750,345.89
  5. Step 5: Solve for x
    x = 25,750,345.89/7,992.81
  6. Step 6: Final answer
    x = 3,221.69

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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.