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Finding the Fourth Proportional to 5,212.40, 7,813.13 and 3,823.65

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Solution

The fourth proportional to 5,212.40, 7,813.13 and 3,823.65 is: 5,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.40 : 7,813.13 = 3,823.65 : x
  2. Step 2: Convert to fraction form
    5,212.40/7,813.13 = 3,823.65/x
  3. Step 3: Cross multiply
    5,212.40x = 7,813.13 × 3,823.65
  4. Step 4: Simplify right side
    5,212.40x = 29,874,655.41
  5. Step 5: Solve for x
    x = 29,874,655.41/5,212.40
  6. Step 6: Final answer
    x = 5,731.46

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1.5x scale

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.