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Finding the Fourth Proportional to 3,155.64, 4,733.46 and 847.14

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Solution

The fourth proportional to 3,155.64, 4,733.46 and 847.14 is: 1,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.64 : 4,733.46 = 847.14 : x
  2. Step 2: Convert to fraction form
    3,155.64/4,733.46 = 847.14/x
  3. Step 3: Cross multiply
    3,155.64x = 4,733.46 × 847.14
  4. Step 4: Simplify right side
    3,155.64x = 4,009,903.30
  5. Step 5: Solve for x
    x = 4,009,903.30/3,155.64
  6. Step 6: Final answer
    x = 1,270.71

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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.