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Finding the Fourth Proportional to 13,992.84, 19,307.81 and 8,694.83

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Solution

The fourth proportional to 13,992.84, 19,307.81 and 8,694.83 is: 11,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.84 : 19,307.81 = 8,694.83 : x
  2. Step 2: Convert to fraction form
    13,992.84/19,307.81 = 8,694.83/x
  3. Step 3: Cross multiply
    13,992.84x = 19,307.81 × 8,694.83
  4. Step 4: Simplify right side
    13,992.84x = 167,877,985.61
  5. Step 5: Solve for x
    x = 167,877,985.61/13,992.84
  6. Step 6: Final answer
    x = 11,997.42

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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.