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Finding the Fourth Proportional to 14,169, 21,253.68 and 4,935

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Solution

The fourth proportional to 14,169, 21,253.68 and 4,935 is: 7,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169 : 21,253.68 = 4,935 : x
  2. Step 2: Convert to fraction form
    14,169/21,253.68 = 4,935/x
  3. Step 3: Cross multiply
    14,169x = 21,253.68 × 4,935
  4. Step 4: Simplify right side
    14,169x = 104,886,910.80
  5. Step 5: Solve for x
    x = 104,886,910.80/14,169
  6. Step 6: Final answer
    x = 7,402.56

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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.