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Finding the Fourth Proportional to 10,771.49, 16,128.42 and 6,325.49

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Solution

The fourth proportional to 10,771.49, 16,128.42 and 6,325.49 is: 9,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.49 : 16,128.42 = 6,325.49 : x
  2. Step 2: Convert to fraction form
    10,771.49/16,128.42 = 6,325.49/x
  3. Step 3: Cross multiply
    10,771.49x = 16,128.42 × 6,325.49
  4. Step 4: Simplify right side
    10,771.49x = 102,020,159.43
  5. Step 5: Solve for x
    x = 102,020,159.43/10,771.49
  6. Step 6: Final answer
    x = 9,471.31

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1.5x scale

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.