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Finding the Fourth Proportional to 12,825.80, 17,683.14 and 10,517.67

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Solution

The fourth proportional to 12,825.80, 17,683.14 and 10,517.67 is: 14,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.80 : 17,683.14 = 10,517.67 : x
  2. Step 2: Convert to fraction form
    12,825.80/17,683.14 = 10,517.67/x
  3. Step 3: Cross multiply
    12,825.80x = 17,683.14 × 10,517.67
  4. Step 4: Simplify right side
    12,825.80x = 185,985,431.08
  5. Step 5: Solve for x
    x = 185,985,431.08/12,825.80
  6. Step 6: Final answer
    x = 14,500.89

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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.