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Finding the Fourth Proportional to 12,606.50, 17,396.97 and 7,017.38

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Solution

The fourth proportional to 12,606.50, 17,396.97 and 7,017.38 is: 9,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.50 : 17,396.97 = 7,017.38 : x
  2. Step 2: Convert to fraction form
    12,606.50/17,396.97 = 7,017.38/x
  3. Step 3: Cross multiply
    12,606.50x = 17,396.97 × 7,017.38
  4. Step 4: Simplify right side
    12,606.50x = 122,081,149.34
  5. Step 5: Solve for x
    x = 122,081,149.34/12,606.50
  6. Step 6: Final answer
    x = 9,683.98

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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.