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Finding the Fourth Proportional to 8,219.56, 12,326.10 and 4,759.24

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Solution

The fourth proportional to 8,219.56, 12,326.10 and 4,759.24 is: 7,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.56 : 12,326.10 = 4,759.24 : x
  2. Step 2: Convert to fraction form
    8,219.56/12,326.10 = 4,759.24/x
  3. Step 3: Cross multiply
    8,219.56x = 12,326.10 × 4,759.24
  4. Step 4: Simplify right side
    8,219.56x = 58,662,868.16
  5. Step 5: Solve for x
    x = 58,662,868.16/8,219.56
  6. Step 6: Final answer
    x = 7,136.98

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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.