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Finding the Fourth Proportional to 12,912.17, 17,784.90 and 9,922.32

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Solution

The fourth proportional to 12,912.17, 17,784.90 and 9,922.32 is: 13,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.17 : 17,784.90 = 9,922.32 : x
  2. Step 2: Convert to fraction form
    12,912.17/17,784.90 = 9,922.32/x
  3. Step 3: Cross multiply
    12,912.17x = 17,784.90 × 9,922.32
  4. Step 4: Simplify right side
    12,912.17x = 176,467,468.97
  5. Step 5: Solve for x
    x = 176,467,468.97/12,912.17
  6. Step 6: Final answer
    x = 13,666.76

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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.