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Finding the Fourth Proportional to 13,507.64, 20,267.52 and 8,575.96

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Solution

The fourth proportional to 13,507.64, 20,267.52 and 8,575.96 is: 12,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.64 : 20,267.52 = 8,575.96 : x
  2. Step 2: Convert to fraction form
    13,507.64/20,267.52 = 8,575.96/x
  3. Step 3: Cross multiply
    13,507.64x = 20,267.52 × 8,575.96
  4. Step 4: Simplify right side
    13,507.64x = 173,813,440.82
  5. Step 5: Solve for x
    x = 173,813,440.82/13,507.64
  6. Step 6: Final answer
    x = 12,867.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.