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Finding the Fourth Proportional to 3,150.60, 4,725.90 and 842.10

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Solution

The fourth proportional to 3,150.60, 4,725.90 and 842.10 is: 1,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.60 : 4,725.90 = 842.10 : x
  2. Step 2: Convert to fraction form
    3,150.60/4,725.90 = 842.10/x
  3. Step 3: Cross multiply
    3,150.60x = 4,725.90 × 842.10
  4. Step 4: Simplify right side
    3,150.60x = 3,979,680.39
  5. Step 5: Solve for x
    x = 3,979,680.39/3,150.60
  6. Step 6: Final answer
    x = 1,263.15

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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.