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Finding the Fourth Proportional to 28,193, 42,287.88 and 8,471.12

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Solution

The fourth proportional to 28,193, 42,287.88 and 8,471.12 is: 12,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,193 : 42,287.88 = 8,471.12 : x
  2. Step 2: Convert to fraction form
    28,193/42,287.88 = 8,471.12/x
  3. Step 3: Cross multiply
    28,193x = 42,287.88 × 8,471.12
  4. Step 4: Simplify right side
    28,193x = 358,225,706.03
  5. Step 5: Solve for x
    x = 358,225,706.03/28,193
  6. Step 6: Final answer
    x = 12,706.19

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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.