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Finding the Fourth Proportional to 14,172.76, 21,259.68 and 3,784.51

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Solution

The fourth proportional to 14,172.76, 21,259.68 and 3,784.51 is: 5,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.76 : 21,259.68 = 3,784.51 : x
  2. Step 2: Convert to fraction form
    14,172.76/21,259.68 = 3,784.51/x
  3. Step 3: Cross multiply
    14,172.76x = 21,259.68 × 3,784.51
  4. Step 4: Simplify right side
    14,172.76x = 80,457,471.56
  5. Step 5: Solve for x
    x = 80,457,471.56/14,172.76
  6. Step 6: Final answer
    x = 5,676.91

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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.