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Finding the Fourth Proportional to 8,218.64, 12,323.64 and 7,069.52

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Solution

The fourth proportional to 8,218.64, 12,323.64 and 7,069.52 is: 10,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.64 : 12,323.64 = 7,069.52 : x
  2. Step 2: Convert to fraction form
    8,218.64/12,323.64 = 7,069.52/x
  3. Step 3: Cross multiply
    8,218.64x = 12,323.64 × 7,069.52
  4. Step 4: Simplify right side
    8,218.64x = 87,122,219.45
  5. Step 5: Solve for x
    x = 87,122,219.45/8,218.64
  6. Step 6: Final answer
    x = 10,600.56

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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.