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Finding the Fourth Proportional to 2,286.99, 3,430.35 and 900.27

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Solution

The fourth proportional to 2,286.99, 3,430.35 and 900.27 is: 1,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.99 : 3,430.35 = 900.27 : x
  2. Step 2: Convert to fraction form
    2,286.99/3,430.35 = 900.27/x
  3. Step 3: Cross multiply
    2,286.99x = 3,430.35 × 900.27
  4. Step 4: Simplify right side
    2,286.99x = 3,088,241.19
  5. Step 5: Solve for x
    x = 3,088,241.19/2,286.99
  6. Step 6: Final answer
    x = 1,350.35

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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.