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Finding the Fourth Proportional to 12,172.34, 16,808.07 and 7,703.98

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Solution

The fourth proportional to 12,172.34, 16,808.07 and 7,703.98 is: 10,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.34 : 16,808.07 = 7,703.98 : x
  2. Step 2: Convert to fraction form
    12,172.34/16,808.07 = 7,703.98/x
  3. Step 3: Cross multiply
    12,172.34x = 16,808.07 × 7,703.98
  4. Step 4: Simplify right side
    12,172.34x = 129,489,021.99
  5. Step 5: Solve for x
    x = 129,489,021.99/12,172.34
  6. Step 6: Final answer
    x = 10,637.97

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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.