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Finding the Fourth Proportional to 13,687.98, 20,539.89 and 7,448.64

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Solution

The fourth proportional to 13,687.98, 20,539.89 and 7,448.64 is: 11,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.98 : 20,539.89 = 7,448.64 : x
  2. Step 2: Convert to fraction form
    13,687.98/20,539.89 = 7,448.64/x
  3. Step 3: Cross multiply
    13,687.98x = 20,539.89 × 7,448.64
  4. Step 4: Simplify right side
    13,687.98x = 152,994,246.25
  5. Step 5: Solve for x
    x = 152,994,246.25/13,687.98
  6. Step 6: Final answer
    x = 11,177.27

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1.5x scale

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.