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Finding the Fourth Proportional to 21,230.68, 31,835.08 and 9,533.88

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Solution

The fourth proportional to 21,230.68, 31,835.08 and 9,533.88 is: 14,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.68 : 31,835.08 = 9,533.88 : x
  2. Step 2: Convert to fraction form
    21,230.68/31,835.08 = 9,533.88/x
  3. Step 3: Cross multiply
    21,230.68x = 31,835.08 × 9,533.88
  4. Step 4: Simplify right side
    21,230.68x = 303,511,832.51
  5. Step 5: Solve for x
    x = 303,511,832.51/21,230.68
  6. Step 6: Final answer
    x = 14,295.91

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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.