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Finding the Fourth Proportional to 12,256.14, 16,914.62 and 7,221.93

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Solution

The fourth proportional to 12,256.14, 16,914.62 and 7,221.93 is: 9,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.14 : 16,914.62 = 7,221.93 : x
  2. Step 2: Convert to fraction form
    12,256.14/16,914.62 = 7,221.93/x
  3. Step 3: Cross multiply
    12,256.14x = 16,914.62 × 7,221.93
  4. Step 4: Simplify right side
    12,256.14x = 122,156,156.24
  5. Step 5: Solve for x
    x = 122,156,156.24/12,256.14
  6. Step 6: Final answer
    x = 9,966.93

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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.