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Finding the Fourth Proportional to 21,811.47, 32,722.43 and 7,021.77

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Solution

The fourth proportional to 21,811.47, 32,722.43 and 7,021.77 is: 10,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.47 : 32,722.43 = 7,021.77 : x
  2. Step 2: Convert to fraction form
    21,811.47/32,722.43 = 7,021.77/x
  3. Step 3: Cross multiply
    21,811.47x = 32,722.43 × 7,021.77
  4. Step 4: Simplify right side
    21,811.47x = 229,769,342.19
  5. Step 5: Solve for x
    x = 229,769,342.19/21,811.47
  6. Step 6: Final answer
    x = 10,534.34

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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.