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Finding the Fourth Proportional to 14,412, 19,888.56 and 8,823

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Solution

The fourth proportional to 14,412, 19,888.56 and 8,823 is: 12,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412 : 19,888.56 = 8,823 : x
  2. Step 2: Convert to fraction form
    14,412/19,888.56 = 8,823/x
  3. Step 3: Cross multiply
    14,412x = 19,888.56 × 8,823
  4. Step 4: Simplify right side
    14,412x = 175,476,764.88
  5. Step 5: Solve for x
    x = 175,476,764.88/14,412
  6. Step 6: Final answer
    x = 12,175.74

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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.