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Finding the Fourth Proportional to 2,636.50, 3,952.86 and 992.92

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Solution

The fourth proportional to 2,636.50, 3,952.86 and 992.92 is: 1,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.50 : 3,952.86 = 992.92 : x
  2. Step 2: Convert to fraction form
    2,636.50/3,952.86 = 992.92/x
  3. Step 3: Cross multiply
    2,636.50x = 3,952.86 × 992.92
  4. Step 4: Simplify right side
    2,636.50x = 3,924,873.75
  5. Step 5: Solve for x
    x = 3,924,873.75/2,636.50
  6. Step 6: Final answer
    x = 1,488.67

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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.