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Finding the Fourth Proportional to 14,201.79, 21,302.71 and 7,669.52

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Solution

The fourth proportional to 14,201.79, 21,302.71 and 7,669.52 is: 11,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.79 : 21,302.71 = 7,669.52 : x
  2. Step 2: Convert to fraction form
    14,201.79/21,302.71 = 7,669.52/x
  3. Step 3: Cross multiply
    14,201.79x = 21,302.71 × 7,669.52
  4. Step 4: Simplify right side
    14,201.79x = 163,381,415.54
  5. Step 5: Solve for x
    x = 163,381,415.54/14,201.79
  6. Step 6: Final answer
    x = 11,504.28

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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.