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Finding the Fourth Proportional to 28,141.70, 38,823.50 and 16,202.50

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Solution

The fourth proportional to 28,141.70, 38,823.50 and 16,202.50 is: 22,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,141.70 : 38,823.50 = 16,202.50 : x
  2. Step 2: Convert to fraction form
    28,141.70/38,823.50 = 16,202.50/x
  3. Step 3: Cross multiply
    28,141.70x = 38,823.50 × 16,202.50
  4. Step 4: Simplify right side
    28,141.70x = 629,037,661.69
  5. Step 5: Solve for x
    x = 629,037,661.69/28,141.70
  6. Step 6: Final answer
    x = 22,352.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.