Home / 7,821.84-11,730-2,626.56

Finding the Fourth Proportional to 7,821.84, 11,730 and 2,626.56

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Solution

The fourth proportional to 7,821.84, 11,730 and 2,626.56 is: 3,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.84 : 11,730 = 2,626.56 : x
  2. Step 2: Convert to fraction form
    7,821.84/11,730 = 2,626.56/x
  3. Step 3: Cross multiply
    7,821.84x = 11,730 × 2,626.56
  4. Step 4: Simplify right side
    7,821.84x = 30,809,548.80
  5. Step 5: Solve for x
    x = 30,809,548.80/7,821.84
  6. Step 6: Final answer
    x = 3,938.91

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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.