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Finding the Fourth Proportional to 2,910.14, 4,365.94 and 830.14

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Solution

The fourth proportional to 2,910.14, 4,365.94 and 830.14 is: 1,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.14 : 4,365.94 = 830.14 : x
  2. Step 2: Convert to fraction form
    2,910.14/4,365.94 = 830.14/x
  3. Step 3: Cross multiply
    2,910.14x = 4,365.94 × 830.14
  4. Step 4: Simplify right side
    2,910.14x = 3,624,341.43
  5. Step 5: Solve for x
    x = 3,624,341.43/2,910.14
  6. Step 6: Final answer
    x = 1,245.42

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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.