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Finding the Fourth Proportional to 3,114.06, 4,671.11 and 893.15

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Solution

The fourth proportional to 3,114.06, 4,671.11 and 893.15 is: 1,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.06 : 4,671.11 = 893.15 : x
  2. Step 2: Convert to fraction form
    3,114.06/4,671.11 = 893.15/x
  3. Step 3: Cross multiply
    3,114.06x = 4,671.11 × 893.15
  4. Step 4: Simplify right side
    3,114.06x = 4,172,005.15
  5. Step 5: Solve for x
    x = 4,172,005.15/3,114.06
  6. Step 6: Final answer
    x = 1,339.73

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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.