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Finding the Fourth Proportional to 21,203.60, 31,785.93 and 7,342.88

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Solution

The fourth proportional to 21,203.60, 31,785.93 and 7,342.88 is: 11,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203.60 : 31,785.93 = 7,342.88 : x
  2. Step 2: Convert to fraction form
    21,203.60/31,785.93 = 7,342.88/x
  3. Step 3: Cross multiply
    21,203.60x = 31,785.93 × 7,342.88
  4. Step 4: Simplify right side
    21,203.60x = 233,400,110.75
  5. Step 5: Solve for x
    x = 233,400,110.75/21,203.60
  6. Step 6: Final answer
    x = 11,007.57

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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.