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Finding the Fourth Proportional to 5,289.30, 7,921.80 and 5,167.80

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Solution

The fourth proportional to 5,289.30, 7,921.80 and 5,167.80 is: 7,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.30 : 7,921.80 = 5,167.80 : x
  2. Step 2: Convert to fraction form
    5,289.30/7,921.80 = 5,167.80/x
  3. Step 3: Cross multiply
    5,289.30x = 7,921.80 × 5,167.80
  4. Step 4: Simplify right side
    5,289.30x = 40,938,278.04
  5. Step 5: Solve for x
    x = 40,938,278.04/5,289.30
  6. Step 6: Final answer
    x = 7,739.83

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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.