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Finding the Fourth Proportional to 8,974.88, 13,462.48 and 3,430.80

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Solution

The fourth proportional to 8,974.88, 13,462.48 and 3,430.80 is: 5,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.88 : 13,462.48 = 3,430.80 : x
  2. Step 2: Convert to fraction form
    8,974.88/13,462.48 = 3,430.80/x
  3. Step 3: Cross multiply
    8,974.88x = 13,462.48 × 3,430.80
  4. Step 4: Simplify right side
    8,974.88x = 46,187,076.38
  5. Step 5: Solve for x
    x = 46,187,076.38/8,974.88
  6. Step 6: Final answer
    x = 5,146.26

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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.