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Finding the Fourth Proportional to 8,974.60, 13,462.30 and 3,430.60

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Solution

The fourth proportional to 8,974.60, 13,462.30 and 3,430.60 is: 5,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.60 : 13,462.30 = 3,430.60 : x
  2. Step 2: Convert to fraction form
    8,974.60/13,462.30 = 3,430.60/x
  3. Step 3: Cross multiply
    8,974.60x = 13,462.30 × 3,430.60
  4. Step 4: Simplify right side
    8,974.60x = 46,183,766.38
  5. Step 5: Solve for x
    x = 46,183,766.38/8,974.60
  6. Step 6: Final answer
    x = 5,146.05

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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.