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Finding the Fourth Proportional to 8,570, 12,854.96 and 2,727.08

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Solution

The fourth proportional to 8,570, 12,854.96 and 2,727.08 is: 4,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570 : 12,854.96 = 2,727.08 : x
  2. Step 2: Convert to fraction form
    8,570/12,854.96 = 2,727.08/x
  3. Step 3: Cross multiply
    8,570x = 12,854.96 × 2,727.08
  4. Step 4: Simplify right side
    8,570x = 35,056,504.32
  5. Step 5: Solve for x
    x = 35,056,504.32/8,570
  6. Step 6: Final answer
    x = 4,090.61

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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.