Home / 7,828.10-11,743.29-2,280.74

Finding the Fourth Proportional to 7,828.10, 11,743.29 and 2,280.74

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Solution

The fourth proportional to 7,828.10, 11,743.29 and 2,280.74 is: 3,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.10 : 11,743.29 = 2,280.74 : x
  2. Step 2: Convert to fraction form
    7,828.10/11,743.29 = 2,280.74/x
  3. Step 3: Cross multiply
    7,828.10x = 11,743.29 × 2,280.74
  4. Step 4: Simplify right side
    7,828.10x = 26,783,391.23
  5. Step 5: Solve for x
    x = 26,783,391.23/7,828.10
  6. Step 6: Final answer
    x = 3,421.44

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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.