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Finding the Fourth Proportional to 2,312.81, 3,469.71 and 669.21

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Solution

The fourth proportional to 2,312.81, 3,469.71 and 669.21 is: 1,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.81 : 3,469.71 = 669.21 : x
  2. Step 2: Convert to fraction form
    2,312.81/3,469.71 = 669.21/x
  3. Step 3: Cross multiply
    2,312.81x = 3,469.71 × 669.21
  4. Step 4: Simplify right side
    2,312.81x = 2,321,964.63
  5. Step 5: Solve for x
    x = 2,321,964.63/2,312.81
  6. Step 6: Final answer
    x = 1,003.96

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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.