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Finding the Fourth Proportional to 12,986.49, 17,920.91 and 8,209.04

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Solution

The fourth proportional to 12,986.49, 17,920.91 and 8,209.04 is: 11,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.49 : 17,920.91 = 8,209.04 : x
  2. Step 2: Convert to fraction form
    12,986.49/17,920.91 = 8,209.04/x
  3. Step 3: Cross multiply
    12,986.49x = 17,920.91 × 8,209.04
  4. Step 4: Simplify right side
    12,986.49x = 147,113,336.38
  5. Step 5: Solve for x
    x = 147,113,336.38/12,986.49
  6. Step 6: Final answer
    x = 11,328.18

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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.