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Finding the Fourth Proportional to 14,181, 21,271.68 and 4,947

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Solution

The fourth proportional to 14,181, 21,271.68 and 4,947 is: 7,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181 : 21,271.68 = 4,947 : x
  2. Step 2: Convert to fraction form
    14,181/21,271.68 = 4,947/x
  3. Step 3: Cross multiply
    14,181x = 21,271.68 × 4,947
  4. Step 4: Simplify right side
    14,181x = 105,231,000.96
  5. Step 5: Solve for x
    x = 105,231,000.96/14,181
  6. Step 6: Final answer
    x = 7,420.56

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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.