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Finding the Fourth Proportional to 2,049.49, 2,828.49 and 1,210.45

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Solution

The fourth proportional to 2,049.49, 2,828.49 and 1,210.45 is: 1,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.49 : 2,828.49 = 1,210.45 : x
  2. Step 2: Convert to fraction form
    2,049.49/2,828.49 = 1,210.45/x
  3. Step 3: Cross multiply
    2,049.49x = 2,828.49 × 1,210.45
  4. Step 4: Simplify right side
    2,049.49x = 3,423,745.72
  5. Step 5: Solve for x
    x = 3,423,745.72/2,049.49
  6. Step 6: Final answer
    x = 1,670.54

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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.