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Finding the Fourth Proportional to 12,967.84, 17,898.08 and 8,124.82

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Solution

The fourth proportional to 12,967.84, 17,898.08 and 8,124.82 is: 11,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.84 : 17,898.08 = 8,124.82 : x
  2. Step 2: Convert to fraction form
    12,967.84/17,898.08 = 8,124.82/x
  3. Step 3: Cross multiply
    12,967.84x = 17,898.08 × 8,124.82
  4. Step 4: Simplify right side
    12,967.84x = 145,418,678.35
  5. Step 5: Solve for x
    x = 145,418,678.35/12,967.84
  6. Step 6: Final answer
    x = 11,213.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.