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Finding the Fourth Proportional to 12,802.12, 19,187.84 and 8,361.89

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Solution

The fourth proportional to 12,802.12, 19,187.84 and 8,361.89 is: 12,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.12 : 19,187.84 = 8,361.89 : x
  2. Step 2: Convert to fraction form
    12,802.12/19,187.84 = 8,361.89/x
  3. Step 3: Cross multiply
    12,802.12x = 19,187.84 × 8,361.89
  4. Step 4: Simplify right side
    12,802.12x = 160,446,565.61
  5. Step 5: Solve for x
    x = 160,446,565.61/12,802.12
  6. Step 6: Final answer
    x = 12,532.82

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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.