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Finding the Fourth Proportional to 19,127.16, 28,696.32 and 8,028

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Solution

The fourth proportional to 19,127.16, 28,696.32 and 8,028 is: 12,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,127.16 : 28,696.32 = 8,028 : x
  2. Step 2: Convert to fraction form
    19,127.16/28,696.32 = 8,028/x
  3. Step 3: Cross multiply
    19,127.16x = 28,696.32 × 8,028
  4. Step 4: Simplify right side
    19,127.16x = 230,374,056.96
  5. Step 5: Solve for x
    x = 230,374,056.96/19,127.16
  6. Step 6: Final answer
    x = 12,044.34

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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.