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Finding the Fourth Proportional to 2,183, 3,012.51 and 1,298.78

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Solution

The fourth proportional to 2,183, 3,012.51 and 1,298.78 is: 1,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183 : 3,012.51 = 1,298.78 : x
  2. Step 2: Convert to fraction form
    2,183/3,012.51 = 1,298.78/x
  3. Step 3: Cross multiply
    2,183x = 3,012.51 × 1,298.78
  4. Step 4: Simplify right side
    2,183x = 3,912,587.74
  5. Step 5: Solve for x
    x = 3,912,587.74/2,183
  6. Step 6: Final answer
    x = 1,792.30

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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.