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Finding the Fourth Proportional to 3,114.45, 4,670.71 and 893.14

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Solution

The fourth proportional to 3,114.45, 4,670.71 and 893.14 is: 1,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.45 : 4,670.71 = 893.14 : x
  2. Step 2: Convert to fraction form
    3,114.45/4,670.71 = 893.14/x
  3. Step 3: Cross multiply
    3,114.45x = 4,670.71 × 893.14
  4. Step 4: Simplify right side
    3,114.45x = 4,171,597.93
  5. Step 5: Solve for x
    x = 4,171,597.93/3,114.45
  6. Step 6: Final answer
    x = 1,339.43

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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.