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Finding the Fourth Proportional to 10,761.64, 16,144 and 5,210.42

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Solution

The fourth proportional to 10,761.64, 16,144 and 5,210.42 is: 7,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.64 : 16,144 = 5,210.42 : x
  2. Step 2: Convert to fraction form
    10,761.64/16,144 = 5,210.42/x
  3. Step 3: Cross multiply
    10,761.64x = 16,144 × 5,210.42
  4. Step 4: Simplify right side
    10,761.64x = 84,117,020.48
  5. Step 5: Solve for x
    x = 84,117,020.48/10,761.64
  6. Step 6: Final answer
    x = 7,816.38

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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.