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Finding the Fourth Proportional to 3,312.81, 4,969.20 and 847.62

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Solution

The fourth proportional to 3,312.81, 4,969.20 and 847.62 is: 1,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.81 : 4,969.20 = 847.62 : x
  2. Step 2: Convert to fraction form
    3,312.81/4,969.20 = 847.62/x
  3. Step 3: Cross multiply
    3,312.81x = 4,969.20 × 847.62
  4. Step 4: Simplify right side
    3,312.81x = 4,211,993.30
  5. Step 5: Solve for x
    x = 4,211,993.30/3,312.81
  6. Step 6: Final answer
    x = 1,271.43

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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.