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Finding the Fourth Proportional to 6,826.19, 10,232.90 and 3,124.69

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Solution

The fourth proportional to 6,826.19, 10,232.90 and 3,124.69 is: 4,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.19 : 10,232.90 = 3,124.69 : x
  2. Step 2: Convert to fraction form
    6,826.19/10,232.90 = 3,124.69/x
  3. Step 3: Cross multiply
    6,826.19x = 10,232.90 × 3,124.69
  4. Step 4: Simplify right side
    6,826.19x = 31,974,610.81
  5. Step 5: Solve for x
    x = 31,974,610.81/6,826.19
  6. Step 6: Final answer
    x = 4,684.11

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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.