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Finding the Fourth Proportional to 12,471.67, 18,706.82 and 7,539.99

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Solution

The fourth proportional to 12,471.67, 18,706.82 and 7,539.99 is: 11,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.67 : 18,706.82 = 7,539.99 : x
  2. Step 2: Convert to fraction form
    12,471.67/18,706.82 = 7,539.99/x
  3. Step 3: Cross multiply
    12,471.67x = 18,706.82 × 7,539.99
  4. Step 4: Simplify right side
    12,471.67x = 141,049,191.50
  5. Step 5: Solve for x
    x = 141,049,191.50/12,471.67
  6. Step 6: Final answer
    x = 11,309.57

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1.5x scale

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.