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Finding the Fourth Proportional to 14,329, 21,502.14 and 6,121

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Solution

The fourth proportional to 14,329, 21,502.14 and 6,121 is: 9,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329 : 21,502.14 = 6,121 : x
  2. Step 2: Convert to fraction form
    14,329/21,502.14 = 6,121/x
  3. Step 3: Cross multiply
    14,329x = 21,502.14 × 6,121
  4. Step 4: Simplify right side
    14,329x = 131,614,598.94
  5. Step 5: Solve for x
    x = 131,614,598.94/14,329
  6. Step 6: Final answer
    x = 9,185.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.