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Finding the Fourth Proportional to 15,871.36, 21,900 and 9,157.24

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Solution

The fourth proportional to 15,871.36, 21,900 and 9,157.24 is: 12,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.36 : 21,900 = 9,157.24 : x
  2. Step 2: Convert to fraction form
    15,871.36/21,900 = 9,157.24/x
  3. Step 3: Cross multiply
    15,871.36x = 21,900 × 9,157.24
  4. Step 4: Simplify right side
    15,871.36x = 200,543,556
  5. Step 5: Solve for x
    x = 200,543,556/15,871.36
  6. Step 6: Final answer
    x = 12,635.56

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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.