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Finding the Fourth Proportional to 2,199, 3,300.12 and 1,045.04

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Solution

The fourth proportional to 2,199, 3,300.12 and 1,045.04 is: 1,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199 : 3,300.12 = 1,045.04 : x
  2. Step 2: Convert to fraction form
    2,199/3,300.12 = 1,045.04/x
  3. Step 3: Cross multiply
    2,199x = 3,300.12 × 1,045.04
  4. Step 4: Simplify right side
    2,199x = 3,448,757.40
  5. Step 5: Solve for x
    x = 3,448,757.40/2,199
  6. Step 6: Final answer
    x = 1,568.33

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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.