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Finding the Fourth Proportional to 3,438.56, 5,157.95 and 841.50

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Solution

The fourth proportional to 3,438.56, 5,157.95 and 841.50 is: 1,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.56 : 5,157.95 = 841.50 : x
  2. Step 2: Convert to fraction form
    3,438.56/5,157.95 = 841.50/x
  3. Step 3: Cross multiply
    3,438.56x = 5,157.95 × 841.50
  4. Step 4: Simplify right side
    3,438.56x = 4,340,410.72
  5. Step 5: Solve for x
    x = 4,340,410.72/3,438.56
  6. Step 6: Final answer
    x = 1,262.27

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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.