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Finding the Fourth Proportional to 8,380.98, 12,570.64 and 4,219.32

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Solution

The fourth proportional to 8,380.98, 12,570.64 and 4,219.32 is: 6,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.98 : 12,570.64 = 4,219.32 : x
  2. Step 2: Convert to fraction form
    8,380.98/12,570.64 = 4,219.32/x
  3. Step 3: Cross multiply
    8,380.98x = 12,570.64 × 4,219.32
  4. Step 4: Simplify right side
    8,380.98x = 53,039,552.76
  5. Step 5: Solve for x
    x = 53,039,552.76/8,380.98
  6. Step 6: Final answer
    x = 6,328.56

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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.