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Finding the Fourth Proportional to 21,507, 32,256.54 and 5,922.60

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Solution

The fourth proportional to 21,507, 32,256.54 and 5,922.60 is: 8,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507 : 32,256.54 = 5,922.60 : x
  2. Step 2: Convert to fraction form
    21,507/32,256.54 = 5,922.60/x
  3. Step 3: Cross multiply
    21,507x = 32,256.54 × 5,922.60
  4. Step 4: Simplify right side
    21,507x = 191,042,583.80
  5. Step 5: Solve for x
    x = 191,042,583.80/21,507
  6. Step 6: Final answer
    x = 8,882.81

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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.