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Finding the Fourth Proportional to 14,999.20, 20,700.64 and 9,033.84

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Solution

The fourth proportional to 14,999.20, 20,700.64 and 9,033.84 is: 12,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,999.20 : 20,700.64 = 9,033.84 : x
  2. Step 2: Convert to fraction form
    14,999.20/20,700.64 = 9,033.84/x
  3. Step 3: Cross multiply
    14,999.20x = 20,700.64 × 9,033.84
  4. Step 4: Simplify right side
    14,999.20x = 187,006,269.66
  5. Step 5: Solve for x
    x = 187,006,269.66/14,999.20
  6. Step 6: Final answer
    x = 12,467.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.