Home / 7,821.30-11,733.92-2,274.50

Finding the Fourth Proportional to 7,821.30, 11,733.92 and 2,274.50

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Solution

The fourth proportional to 7,821.30, 11,733.92 and 2,274.50 is: 3,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.30 : 11,733.92 = 2,274.50 : x
  2. Step 2: Convert to fraction form
    7,821.30/11,733.92 = 2,274.50/x
  3. Step 3: Cross multiply
    7,821.30x = 11,733.92 × 2,274.50
  4. Step 4: Simplify right side
    7,821.30x = 26,688,801.04
  5. Step 5: Solve for x
    x = 26,688,801.04/7,821.30
  6. Step 6: Final answer
    x = 3,412.32

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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.