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Finding the Fourth Proportional to 12,781.94, 17,639.22 and 7,192.94

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Solution

The fourth proportional to 12,781.94, 17,639.22 and 7,192.94 is: 9,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.94 : 17,639.22 = 7,192.94 : x
  2. Step 2: Convert to fraction form
    12,781.94/17,639.22 = 7,192.94/x
  3. Step 3: Cross multiply
    12,781.94x = 17,639.22 × 7,192.94
  4. Step 4: Simplify right side
    12,781.94x = 126,877,851.11
  5. Step 5: Solve for x
    x = 126,877,851.11/12,781.94
  6. Step 6: Final answer
    x = 9,926.34

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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.