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Finding the Fourth Proportional to 15,576, 21,494.90 and 9,987

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Solution

The fourth proportional to 15,576, 21,494.90 and 9,987 is: 13,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,576 : 21,494.90 = 9,987 : x
  2. Step 2: Convert to fraction form
    15,576/21,494.90 = 9,987/x
  3. Step 3: Cross multiply
    15,576x = 21,494.90 × 9,987
  4. Step 4: Simplify right side
    15,576x = 214,669,566.30
  5. Step 5: Solve for x
    x = 214,669,566.30/15,576
  6. Step 6: Final answer
    x = 13,782.07

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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.