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Finding the Fourth Proportional to 21,782.40, 32,671.05 and 6,790.64

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Solution

The fourth proportional to 21,782.40, 32,671.05 and 6,790.64 is: 10,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.40 : 32,671.05 = 6,790.64 : x
  2. Step 2: Convert to fraction form
    21,782.40/32,671.05 = 6,790.64/x
  3. Step 3: Cross multiply
    21,782.40x = 32,671.05 × 6,790.64
  4. Step 4: Simplify right side
    21,782.40x = 221,857,150.15
  5. Step 5: Solve for x
    x = 221,857,150.15/21,782.40
  6. Step 6: Final answer
    x = 10,185.16

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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.