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Finding the Fourth Proportional to 12,912.50, 17,816.50 and 7,605.38

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Solution

The fourth proportional to 12,912.50, 17,816.50 and 7,605.38 is: 10,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.50 : 17,816.50 = 7,605.38 : x
  2. Step 2: Convert to fraction form
    12,912.50/17,816.50 = 7,605.38/x
  3. Step 3: Cross multiply
    12,912.50x = 17,816.50 × 7,605.38
  4. Step 4: Simplify right side
    12,912.50x = 135,501,252.77
  5. Step 5: Solve for x
    x = 135,501,252.77/12,912.50
  6. Step 6: Final answer
    x = 10,493.80

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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.