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Finding the Fourth Proportional to 14,828, 20,464.50 and 9,727.80

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Solution

The fourth proportional to 14,828, 20,464.50 and 9,727.80 is: 13,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828 : 20,464.50 = 9,727.80 : x
  2. Step 2: Convert to fraction form
    14,828/20,464.50 = 9,727.80/x
  3. Step 3: Cross multiply
    14,828x = 20,464.50 × 9,727.80
  4. Step 4: Simplify right side
    14,828x = 199,074,563.10
  5. Step 5: Solve for x
    x = 199,074,563.10/14,828
  6. Step 6: Final answer
    x = 13,425.58

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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.