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Finding the Fourth Proportional to 21,458.43, 32,182.79 and 7,607.43

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Solution

The fourth proportional to 21,458.43, 32,182.79 and 7,607.43 is: 11,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.43 : 32,182.79 = 7,607.43 : x
  2. Step 2: Convert to fraction form
    21,458.43/32,182.79 = 7,607.43/x
  3. Step 3: Cross multiply
    21,458.43x = 32,182.79 × 7,607.43
  4. Step 4: Simplify right side
    21,458.43x = 244,828,284.09
  5. Step 5: Solve for x
    x = 244,828,284.09/21,458.43
  6. Step 6: Final answer
    x = 11,409.42

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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.