Home / 9,214.85-13,821.63-2,289.35

Finding the Fourth Proportional to 9,214.85, 13,821.63 and 2,289.35

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Solution

The fourth proportional to 9,214.85, 13,821.63 and 2,289.35 is: 3,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.85 : 13,821.63 = 2,289.35 : x
  2. Step 2: Convert to fraction form
    9,214.85/13,821.63 = 2,289.35/x
  3. Step 3: Cross multiply
    9,214.85x = 13,821.63 × 2,289.35
  4. Step 4: Simplify right side
    9,214.85x = 31,642,548.64
  5. Step 5: Solve for x
    x = 31,642,548.64/9,214.85
  6. Step 6: Final answer
    x = 3,433.86

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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.