Home / 2,098.74-2,896.20-1,214.70

Finding the Fourth Proportional to 2,098.74, 2,896.20 and 1,214.70

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Solution

The fourth proportional to 2,098.74, 2,896.20 and 1,214.70 is: 1,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.74 : 2,896.20 = 1,214.70 : x
  2. Step 2: Convert to fraction form
    2,098.74/2,896.20 = 1,214.70/x
  3. Step 3: Cross multiply
    2,098.74x = 2,896.20 × 1,214.70
  4. Step 4: Simplify right side
    2,098.74x = 3,518,014.14
  5. Step 5: Solve for x
    x = 3,518,014.14/2,098.74
  6. Step 6: Final answer
    x = 1,676.25

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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.