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Finding the Fourth Proportional to 14,021.52, 21,029.86 and 5,254.64

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Solution

The fourth proportional to 14,021.52, 21,029.86 and 5,254.64 is: 7,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.52 : 21,029.86 = 5,254.64 : x
  2. Step 2: Convert to fraction form
    14,021.52/21,029.86 = 5,254.64/x
  3. Step 3: Cross multiply
    14,021.52x = 21,029.86 × 5,254.64
  4. Step 4: Simplify right side
    14,021.52x = 110,504,343.55
  5. Step 5: Solve for x
    x = 110,504,343.55/14,021.52
  6. Step 6: Final answer
    x = 7,881.05

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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.