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Finding the Fourth Proportional to 5,428, 8,133.90 and 3,478.60

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Solution

The fourth proportional to 5,428, 8,133.90 and 3,478.60 is: 5,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428 : 8,133.90 = 3,478.60 : x
  2. Step 2: Convert to fraction form
    5,428/8,133.90 = 3,478.60/x
  3. Step 3: Cross multiply
    5,428x = 8,133.90 × 3,478.60
  4. Step 4: Simplify right side
    5,428x = 28,294,584.54
  5. Step 5: Solve for x
    x = 28,294,584.54/5,428
  6. Step 6: Final answer
    x = 5,212.71

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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.