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Finding the Fourth Proportional to 2,618.40, 3,923.40 and 1,384.20

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Solution

The fourth proportional to 2,618.40, 3,923.40 and 1,384.20 is: 2,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.40 : 3,923.40 = 1,384.20 : x
  2. Step 2: Convert to fraction form
    2,618.40/3,923.40 = 1,384.20/x
  3. Step 3: Cross multiply
    2,618.40x = 3,923.40 × 1,384.20
  4. Step 4: Simplify right side
    2,618.40x = 5,430,770.28
  5. Step 5: Solve for x
    x = 5,430,770.28/2,618.40
  6. Step 6: Final answer
    x = 2,074.08

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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.