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Finding the Fourth Proportional to 8,656.75, 12,977.47 and 4,211.97

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Solution

The fourth proportional to 8,656.75, 12,977.47 and 4,211.97 is: 6,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.75 : 12,977.47 = 4,211.97 : x
  2. Step 2: Convert to fraction form
    8,656.75/12,977.47 = 4,211.97/x
  3. Step 3: Cross multiply
    8,656.75x = 12,977.47 × 4,211.97
  4. Step 4: Simplify right side
    8,656.75x = 54,660,714.32
  5. Step 5: Solve for x
    x = 54,660,714.32/8,656.75
  6. Step 6: Final answer
    x = 6,314.23

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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.