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Finding the Fourth Proportional to 21,205.44, 31,803.30 and 9,522

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Solution

The fourth proportional to 21,205.44, 31,803.30 and 9,522 is: 14,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.44 : 31,803.30 = 9,522 : x
  2. Step 2: Convert to fraction form
    21,205.44/31,803.30 = 9,522/x
  3. Step 3: Cross multiply
    21,205.44x = 31,803.30 × 9,522
  4. Step 4: Simplify right side
    21,205.44x = 302,831,022.60
  5. Step 5: Solve for x
    x = 302,831,022.60/21,205.44
  6. Step 6: Final answer
    x = 14,280.82

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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.