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Finding the Fourth Proportional to 3,210.14, 4,815.21 and 1,209.21

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Solution

The fourth proportional to 3,210.14, 4,815.21 and 1,209.21 is: 1,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.14 : 4,815.21 = 1,209.21 : x
  2. Step 2: Convert to fraction form
    3,210.14/4,815.21 = 1,209.21/x
  3. Step 3: Cross multiply
    3,210.14x = 4,815.21 × 1,209.21
  4. Step 4: Simplify right side
    3,210.14x = 5,822,598.57
  5. Step 5: Solve for x
    x = 5,822,598.57/3,210.14
  6. Step 6: Final answer
    x = 1,813.81

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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.