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Finding the Fourth Proportional to 13,918, 19,206.90 and 8,329

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Solution

The fourth proportional to 13,918, 19,206.90 and 8,329 is: 11,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918 : 19,206.90 = 8,329 : x
  2. Step 2: Convert to fraction form
    13,918/19,206.90 = 8,329/x
  3. Step 3: Cross multiply
    13,918x = 19,206.90 × 8,329
  4. Step 4: Simplify right side
    13,918x = 159,974,270.10
  5. Step 5: Solve for x
    x = 159,974,270.10/13,918
  6. Step 6: Final answer
    x = 11,494.06

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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.