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Finding the Fourth Proportional to 18,878.21, 28,317.54 and 8,202.09

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Solution

The fourth proportional to 18,878.21, 28,317.54 and 8,202.09 is: 12,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,878.21 : 28,317.54 = 8,202.09 : x
  2. Step 2: Convert to fraction form
    18,878.21/28,317.54 = 8,202.09/x
  3. Step 3: Cross multiply
    18,878.21x = 28,317.54 × 8,202.09
  4. Step 4: Simplify right side
    18,878.21x = 232,263,011.66
  5. Step 5: Solve for x
    x = 232,263,011.66/18,878.21
  6. Step 6: Final answer
    x = 12,303.24

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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.