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Finding the Fourth Proportional to 21,880.87, 32,821.50 and 7,089.83

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Solution

The fourth proportional to 21,880.87, 32,821.50 and 7,089.83 is: 10,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880.87 : 32,821.50 = 7,089.83 : x
  2. Step 2: Convert to fraction form
    21,880.87/32,821.50 = 7,089.83/x
  3. Step 3: Cross multiply
    21,880.87x = 32,821.50 × 7,089.83
  4. Step 4: Simplify right side
    21,880.87x = 232,698,840.90
  5. Step 5: Solve for x
    x = 232,698,840.90/21,880.87
  6. Step 6: Final answer
    x = 10,634.81

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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.