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Finding the Fourth Proportional to 12,986.98, 17,920.74 and 7,321.60

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Solution

The fourth proportional to 12,986.98, 17,920.74 and 7,321.60 is: 10,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.98 : 17,920.74 = 7,321.60 : x
  2. Step 2: Convert to fraction form
    12,986.98/17,920.74 = 7,321.60/x
  3. Step 3: Cross multiply
    12,986.98x = 17,920.74 × 7,321.60
  4. Step 4: Simplify right side
    12,986.98x = 131,208,489.98
  5. Step 5: Solve for x
    x = 131,208,489.98/12,986.98
  6. Step 6: Final answer
    x = 10,103.08

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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.