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Finding the Fourth Proportional to 9,991.90, 14,977.18 and 7,519.07

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Solution

The fourth proportional to 9,991.90, 14,977.18 and 7,519.07 is: 11,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.90 : 14,977.18 = 7,519.07 : x
  2. Step 2: Convert to fraction form
    9,991.90/14,977.18 = 7,519.07/x
  3. Step 3: Cross multiply
    9,991.90x = 14,977.18 × 7,519.07
  4. Step 4: Simplify right side
    9,991.90x = 112,614,464.82
  5. Step 5: Solve for x
    x = 112,614,464.82/9,991.90
  6. Step 6: Final answer
    x = 11,270.58

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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.