Home / 2,286.10-3,430.88-1,505.84

Finding the Fourth Proportional to 2,286.10, 3,430.88 and 1,505.84

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Solution

The fourth proportional to 2,286.10, 3,430.88 and 1,505.84 is: 2,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.10 : 3,430.88 = 1,505.84 : x
  2. Step 2: Convert to fraction form
    2,286.10/3,430.88 = 1,505.84/x
  3. Step 3: Cross multiply
    2,286.10x = 3,430.88 × 1,505.84
  4. Step 4: Simplify right side
    2,286.10x = 5,166,342.95
  5. Step 5: Solve for x
    x = 5,166,342.95/2,286.10
  6. Step 6: Final answer
    x = 2,259.90

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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.