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Finding the Fourth Proportional to 6,288.96, 9,435.20 and 5,129.90

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Solution

The fourth proportional to 6,288.96, 9,435.20 and 5,129.90 is: 7,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.96 : 9,435.20 = 5,129.90 : x
  2. Step 2: Convert to fraction form
    6,288.96/9,435.20 = 5,129.90/x
  3. Step 3: Cross multiply
    6,288.96x = 9,435.20 × 5,129.90
  4. Step 4: Simplify right side
    6,288.96x = 48,401,632.48
  5. Step 5: Solve for x
    x = 48,401,632.48/6,288.96
  6. Step 6: Final answer
    x = 7,696.29

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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.