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Finding the Fourth Proportional to 3,778.95, 5,669.40 and 1,439.00

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Solution

The fourth proportional to 3,778.95, 5,669.40 and 1,439.00 is: 2,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.95 : 5,669.40 = 1,439.00 : x
  2. Step 2: Convert to fraction form
    3,778.95/5,669.40 = 1,439.00/x
  3. Step 3: Cross multiply
    3,778.95x = 5,669.40 × 1,439.00
  4. Step 4: Simplify right side
    3,778.95x = 8,158,238.25
  5. Step 5: Solve for x
    x = 8,158,238.25/3,778.95
  6. Step 6: Final answer
    x = 2,158.86

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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.