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Finding the Fourth Proportional to 5,130.86, 7,696.85 and 1,620.96

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Solution

The fourth proportional to 5,130.86, 7,696.85 and 1,620.96 is: 2,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.86 : 7,696.85 = 1,620.96 : x
  2. Step 2: Convert to fraction form
    5,130.86/7,696.85 = 1,620.96/x
  3. Step 3: Cross multiply
    5,130.86x = 7,696.85 × 1,620.96
  4. Step 4: Simplify right side
    5,130.86x = 12,476,277.87
  5. Step 5: Solve for x
    x = 12,476,277.87/5,130.86
  6. Step 6: Final answer
    x = 2,431.62

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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.