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Finding the Fourth Proportional to 14,287.69, 21,431.54 and 3,899.44

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Solution

The fourth proportional to 14,287.69, 21,431.54 and 3,899.44 is: 5,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.69 : 21,431.54 = 3,899.44 : x
  2. Step 2: Convert to fraction form
    14,287.69/21,431.54 = 3,899.44/x
  3. Step 3: Cross multiply
    14,287.69x = 21,431.54 × 3,899.44
  4. Step 4: Simplify right side
    14,287.69x = 83,571,004.34
  5. Step 5: Solve for x
    x = 83,571,004.34/14,287.69
  6. Step 6: Final answer
    x = 5,849.16

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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.