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Finding the Fourth Proportional to 8,380.61, 12,570.73 and 4,219.50

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Solution

The fourth proportional to 8,380.61, 12,570.73 and 4,219.50 is: 6,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.61 : 12,570.73 = 4,219.50 : x
  2. Step 2: Convert to fraction form
    8,380.61/12,570.73 = 4,219.50/x
  3. Step 3: Cross multiply
    8,380.61x = 12,570.73 × 4,219.50
  4. Step 4: Simplify right side
    8,380.61x = 53,042,221.28
  5. Step 5: Solve for x
    x = 53,042,221.28/8,380.61
  6. Step 6: Final answer
    x = 6,329.16

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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.