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Finding the Fourth Proportional to 14,274.62, 19,699 and 7,987

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Solution

The fourth proportional to 14,274.62, 19,699 and 7,987 is: 11,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.62 : 19,699 = 7,987 : x
  2. Step 2: Convert to fraction form
    14,274.62/19,699 = 7,987/x
  3. Step 3: Cross multiply
    14,274.62x = 19,699 × 7,987
  4. Step 4: Simplify right side
    14,274.62x = 157,335,913
  5. Step 5: Solve for x
    x = 157,335,913/14,274.62
  6. Step 6: Final answer
    x = 11,022.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.