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Finding the Fourth Proportional to 28,140.92, 42,205.08 and 8,416.88

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Solution

The fourth proportional to 28,140.92, 42,205.08 and 8,416.88 is: 12,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,140.92 : 42,205.08 = 8,416.88 : x
  2. Step 2: Convert to fraction form
    28,140.92/42,205.08 = 8,416.88/x
  3. Step 3: Cross multiply
    28,140.92x = 42,205.08 × 8,416.88
  4. Step 4: Simplify right side
    28,140.92x = 355,235,093.75
  5. Step 5: Solve for x
    x = 355,235,093.75/28,140.92
  6. Step 6: Final answer
    x = 12,623.44

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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.