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Finding the Fourth Proportional to 17,209.28, 25,815.32 and 6,688

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Solution

The fourth proportional to 17,209.28, 25,815.32 and 6,688 is: 10,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.28 : 25,815.32 = 6,688 : x
  2. Step 2: Convert to fraction form
    17,209.28/25,815.32 = 6,688/x
  3. Step 3: Cross multiply
    17,209.28x = 25,815.32 × 6,688
  4. Step 4: Simplify right side
    17,209.28x = 172,652,860.16
  5. Step 5: Solve for x
    x = 172,652,860.16/17,209.28
  6. Step 6: Final answer
    x = 10,032.54

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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.