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Finding the Fourth Proportional to 21,825, 32,737.50 and 9,513

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Solution

The fourth proportional to 21,825, 32,737.50 and 9,513 is: 14,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825 : 32,737.50 = 9,513 : x
  2. Step 2: Convert to fraction form
    21,825/32,737.50 = 9,513/x
  3. Step 3: Cross multiply
    21,825x = 32,737.50 × 9,513
  4. Step 4: Simplify right side
    21,825x = 311,431,837.50
  5. Step 5: Solve for x
    x = 311,431,837.50/21,825
  6. Step 6: Final answer
    x = 14,269.50

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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.