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Finding the Fourth Proportional to 18,025, 27,037.50 and 5,713

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Solution

The fourth proportional to 18,025, 27,037.50 and 5,713 is: 8,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,025 : 27,037.50 = 5,713 : x
  2. Step 2: Convert to fraction form
    18,025/27,037.50 = 5,713/x
  3. Step 3: Cross multiply
    18,025x = 27,037.50 × 5,713
  4. Step 4: Simplify right side
    18,025x = 154,465,237.50
  5. Step 5: Solve for x
    x = 154,465,237.50/18,025
  6. Step 6: Final answer
    x = 8,569.50

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1.5x scale

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.