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Finding the Fourth Proportional to 12,630.65, 17,429.49 and 6,965.07

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Solution

The fourth proportional to 12,630.65, 17,429.49 and 6,965.07 is: 9,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,630.65 : 17,429.49 = 6,965.07 : x
  2. Step 2: Convert to fraction form
    12,630.65/17,429.49 = 6,965.07/x
  3. Step 3: Cross multiply
    12,630.65x = 17,429.49 × 6,965.07
  4. Step 4: Simplify right side
    12,630.65x = 121,397,617.91
  5. Step 5: Solve for x
    x = 121,397,617.91/12,630.65
  6. Step 6: Final answer
    x = 9,611.36

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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.