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Finding the Fourth Proportional to 15,900.64, 21,941.26 and 9,188.43

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Solution

The fourth proportional to 15,900.64, 21,941.26 and 9,188.43 is: 12,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.64 : 21,941.26 = 9,188.43 : x
  2. Step 2: Convert to fraction form
    15,900.64/21,941.26 = 9,188.43/x
  3. Step 3: Cross multiply
    15,900.64x = 21,941.26 × 9,188.43
  4. Step 4: Simplify right side
    15,900.64x = 201,605,731.62
  5. Step 5: Solve for x
    x = 201,605,731.62/15,900.64
  6. Step 6: Final answer
    x = 12,679.10

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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.