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Finding the Fourth Proportional to 21,771.85, 32,477.04 and 21,043.01

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Solution

The fourth proportional to 21,771.85, 32,477.04 and 21,043.01 is: 31,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.85 : 32,477.04 = 21,043.01 : x
  2. Step 2: Convert to fraction form
    21,771.85/32,477.04 = 21,043.01/x
  3. Step 3: Cross multiply
    21,771.85x = 32,477.04 × 21,043.01
  4. Step 4: Simplify right side
    21,771.85x = 683,414,596.30
  5. Step 5: Solve for x
    x = 683,414,596.30/21,771.85
  6. Step 6: Final answer
    x = 31,389.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.