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Finding the Fourth Proportional to 21,405.44, 32,111.74 and 7,364.90

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Solution

The fourth proportional to 21,405.44, 32,111.74 and 7,364.90 is: 11,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.44 : 32,111.74 = 7,364.90 : x
  2. Step 2: Convert to fraction form
    21,405.44/32,111.74 = 7,364.90/x
  3. Step 3: Cross multiply
    21,405.44x = 32,111.74 × 7,364.90
  4. Step 4: Simplify right side
    21,405.44x = 236,499,753.93
  5. Step 5: Solve for x
    x = 236,499,753.93/21,405.44
  6. Step 6: Final answer
    x = 11,048.58

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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.