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Finding the Fourth Proportional to 15,507.44, 21,399.63 and 8,433.86

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Solution

The fourth proportional to 15,507.44, 21,399.63 and 8,433.86 is: 11,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.44 : 21,399.63 = 8,433.86 : x
  2. Step 2: Convert to fraction form
    15,507.44/21,399.63 = 8,433.86/x
  3. Step 3: Cross multiply
    15,507.44x = 21,399.63 × 8,433.86
  4. Step 4: Simplify right side
    15,507.44x = 180,481,376.47
  5. Step 5: Solve for x
    x = 180,481,376.47/15,507.44
  6. Step 6: Final answer
    x = 11,638.38

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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.