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Finding the Fourth Proportional to 12,909.89, 17,813.48 and 7,605.77

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Solution

The fourth proportional to 12,909.89, 17,813.48 and 7,605.77 is: 10,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.89 : 17,813.48 = 7,605.77 : x
  2. Step 2: Convert to fraction form
    12,909.89/17,813.48 = 7,605.77/x
  3. Step 3: Cross multiply
    12,909.89x = 17,813.48 × 7,605.77
  4. Step 4: Simplify right side
    12,909.89x = 135,485,104.68
  5. Step 5: Solve for x
    x = 135,485,104.68/12,909.89
  6. Step 6: Final answer
    x = 10,494.67

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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.