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Finding the Fourth Proportional to 21,259.56, 31,867.56 and 9,580.98

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Solution

The fourth proportional to 21,259.56, 31,867.56 and 9,580.98 is: 14,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259.56 : 31,867.56 = 9,580.98 : x
  2. Step 2: Convert to fraction form
    21,259.56/31,867.56 = 9,580.98/x
  3. Step 3: Cross multiply
    21,259.56x = 31,867.56 × 9,580.98
  4. Step 4: Simplify right side
    21,259.56x = 305,322,455.01
  5. Step 5: Solve for x
    x = 305,322,455.01/21,259.56
  6. Step 6: Final answer
    x = 14,361.65

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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.