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Finding the Fourth Proportional to 14,457, 21,675.76 and 6,661.56

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Solution

The fourth proportional to 14,457, 21,675.76 and 6,661.56 is: 9,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457 : 21,675.76 = 6,661.56 : x
  2. Step 2: Convert to fraction form
    14,457/21,675.76 = 6,661.56/x
  3. Step 3: Cross multiply
    14,457x = 21,675.76 × 6,661.56
  4. Step 4: Simplify right side
    14,457x = 144,394,375.79
  5. Step 5: Solve for x
    x = 144,394,375.79/14,457
  6. Step 6: Final answer
    x = 9,987.85

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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.