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Finding the Fourth Proportional to 8,568.42, 12,852.64 and 3,022.20

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Solution

The fourth proportional to 8,568.42, 12,852.64 and 3,022.20 is: 4,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.42 : 12,852.64 = 3,022.20 : x
  2. Step 2: Convert to fraction form
    8,568.42/12,852.64 = 3,022.20/x
  3. Step 3: Cross multiply
    8,568.42x = 12,852.64 × 3,022.20
  4. Step 4: Simplify right side
    8,568.42x = 38,843,248.61
  5. Step 5: Solve for x
    x = 38,843,248.61/8,568.42
  6. Step 6: Final answer
    x = 4,533.30

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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.