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Finding the Fourth Proportional to 2,162.08, 3,242.76 and 775.20

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Solution

The fourth proportional to 2,162.08, 3,242.76 and 775.20 is: 1,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.08 : 3,242.76 = 775.20 : x
  2. Step 2: Convert to fraction form
    2,162.08/3,242.76 = 775.20/x
  3. Step 3: Cross multiply
    2,162.08x = 3,242.76 × 775.20
  4. Step 4: Simplify right side
    2,162.08x = 2,513,783.68
  5. Step 5: Solve for x
    x = 2,513,783.68/2,162.08
  6. Step 6: Final answer
    x = 1,162.67

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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.