Home / 7,830.66-11,744.85-2,282.51

Finding the Fourth Proportional to 7,830.66, 11,744.85 and 2,282.51

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Solution

The fourth proportional to 7,830.66, 11,744.85 and 2,282.51 is: 3,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.66 : 11,744.85 = 2,282.51 : x
  2. Step 2: Convert to fraction form
    7,830.66/11,744.85 = 2,282.51/x
  3. Step 3: Cross multiply
    7,830.66x = 11,744.85 × 2,282.51
  4. Step 4: Simplify right side
    7,830.66x = 26,807,766.94
  5. Step 5: Solve for x
    x = 26,807,766.94/7,830.66
  6. Step 6: Final answer
    x = 3,423.44

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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.