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Finding the Fourth Proportional to 5,129.85, 7,696.50 and 2,169

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Solution

The fourth proportional to 5,129.85, 7,696.50 and 2,169 is: 3,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.85 : 7,696.50 = 2,169 : x
  2. Step 2: Convert to fraction form
    5,129.85/7,696.50 = 2,169/x
  3. Step 3: Cross multiply
    5,129.85x = 7,696.50 × 2,169
  4. Step 4: Simplify right side
    5,129.85x = 16,693,708.50
  5. Step 5: Solve for x
    x = 16,693,708.50/5,129.85
  6. Step 6: Final answer
    x = 3,254.23

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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.