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Finding the Fourth Proportional to 12,830.87, 17,701.48 and 8,352.99

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Solution

The fourth proportional to 12,830.87, 17,701.48 and 8,352.99 is: 11,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.87 : 17,701.48 = 8,352.99 : x
  2. Step 2: Convert to fraction form
    12,830.87/17,701.48 = 8,352.99/x
  3. Step 3: Cross multiply
    12,830.87x = 17,701.48 × 8,352.99
  4. Step 4: Simplify right side
    12,830.87x = 147,860,229.49
  5. Step 5: Solve for x
    x = 147,860,229.49/12,830.87
  6. Step 6: Final answer
    x = 11,523.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.