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Finding the Fourth Proportional to 19,298.92, 28,947.84 and 8,200.04

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Solution

The fourth proportional to 19,298.92, 28,947.84 and 8,200.04 is: 12,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.92 : 28,947.84 = 8,200.04 : x
  2. Step 2: Convert to fraction form
    19,298.92/28,947.84 = 8,200.04/x
  3. Step 3: Cross multiply
    19,298.92x = 28,947.84 × 8,200.04
  4. Step 4: Simplify right side
    19,298.92x = 237,373,445.91
  5. Step 5: Solve for x
    x = 237,373,445.91/19,298.92
  6. Step 6: Final answer
    x = 12,299.83

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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.