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Finding the Fourth Proportional to 21,596.58, 32,386.68 and 8,447.31

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Solution

The fourth proportional to 21,596.58, 32,386.68 and 8,447.31 is: 12,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596.58 : 32,386.68 = 8,447.31 : x
  2. Step 2: Convert to fraction form
    21,596.58/32,386.68 = 8,447.31/x
  3. Step 3: Cross multiply
    21,596.58x = 32,386.68 × 8,447.31
  4. Step 4: Simplify right side
    21,596.58x = 273,580,325.83
  5. Step 5: Solve for x
    x = 273,580,325.83/21,596.58
  6. Step 6: Final answer
    x = 12,667.76

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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.