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Finding the Fourth Proportional to 2,209, 3,048.42 and 1,214.24

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Solution

The fourth proportional to 2,209, 3,048.42 and 1,214.24 is: 1,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209 : 3,048.42 = 1,214.24 : x
  2. Step 2: Convert to fraction form
    2,209/3,048.42 = 1,214.24/x
  3. Step 3: Cross multiply
    2,209x = 3,048.42 × 1,214.24
  4. Step 4: Simplify right side
    2,209x = 3,701,513.50
  5. Step 5: Solve for x
    x = 3,701,513.50/2,209
  6. Step 6: Final answer
    x = 1,675.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.