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Finding the Fourth Proportional to 14,405.23, 21,607.71 and 7,829.92

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Solution

The fourth proportional to 14,405.23, 21,607.71 and 7,829.92 is: 11,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.23 : 21,607.71 = 7,829.92 : x
  2. Step 2: Convert to fraction form
    14,405.23/21,607.71 = 7,829.92/x
  3. Step 3: Cross multiply
    14,405.23x = 21,607.71 × 7,829.92
  4. Step 4: Simplify right side
    14,405.23x = 169,186,640.68
  5. Step 5: Solve for x
    x = 169,186,640.68/14,405.23
  6. Step 6: Final answer
    x = 11,744.81

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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.