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Finding the Fourth Proportional to 21,393.63, 32,095.94 and 8,909.51

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Solution

The fourth proportional to 21,393.63, 32,095.94 and 8,909.51 is: 13,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,393.63 : 32,095.94 = 8,909.51 : x
  2. Step 2: Convert to fraction form
    21,393.63/32,095.94 = 8,909.51/x
  3. Step 3: Cross multiply
    21,393.63x = 32,095.94 × 8,909.51
  4. Step 4: Simplify right side
    21,393.63x = 285,958,893.36
  5. Step 5: Solve for x
    x = 285,958,893.36/21,393.63
  6. Step 6: Final answer
    x = 13,366.54

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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.