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Finding the Fourth Proportional to 21,600.56, 32,402 and 6,810.64

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Solution

The fourth proportional to 21,600.56, 32,402 and 6,810.64 is: 10,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600.56 : 32,402 = 6,810.64 : x
  2. Step 2: Convert to fraction form
    21,600.56/32,402 = 6,810.64/x
  3. Step 3: Cross multiply
    21,600.56x = 32,402 × 6,810.64
  4. Step 4: Simplify right side
    21,600.56x = 220,678,357.28
  5. Step 5: Solve for x
    x = 220,678,357.28/21,600.56
  6. Step 6: Final answer
    x = 10,216.33

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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.