Home / 13,282-19,909.62-8,355.16

Finding the Fourth Proportional to 13,282, 19,909.62 and 8,355.16

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Solution

The fourth proportional to 13,282, 19,909.62 and 8,355.16 is: 12,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282 : 19,909.62 = 8,355.16 : x
  2. Step 2: Convert to fraction form
    13,282/19,909.62 = 8,355.16/x
  3. Step 3: Cross multiply
    13,282x = 19,909.62 × 8,355.16
  4. Step 4: Simplify right side
    13,282x = 166,348,060.64
  5. Step 5: Solve for x
    x = 166,348,060.64/13,282
  6. Step 6: Final answer
    x = 12,524.32

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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.