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Finding the Fourth Proportional to 12,122.81, 16,729.64 and 7,085.88

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Solution

The fourth proportional to 12,122.81, 16,729.64 and 7,085.88 is: 9,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.81 : 16,729.64 = 7,085.88 : x
  2. Step 2: Convert to fraction form
    12,122.81/16,729.64 = 7,085.88/x
  3. Step 3: Cross multiply
    12,122.81x = 16,729.64 × 7,085.88
  4. Step 4: Simplify right side
    12,122.81x = 118,544,212.63
  5. Step 5: Solve for x
    x = 118,544,212.63/12,122.81
  6. Step 6: Final answer
    x = 9,778.60

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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.