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Finding the Fourth Proportional to 12,720, 19,080 and 5,424

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Solution

The fourth proportional to 12,720, 19,080 and 5,424 is: 8,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720 : 19,080 = 5,424 : x
  2. Step 2: Convert to fraction form
    12,720/19,080 = 5,424/x
  3. Step 3: Cross multiply
    12,720x = 19,080 × 5,424
  4. Step 4: Simplify right side
    12,720x = 103,489,920
  5. Step 5: Solve for x
    x = 103,489,920/12,720
  6. Step 6: Final answer
    x = 8,136

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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.