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Finding the Fourth Proportional to 8,422.34, 12,611.43 and 5,456.21

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Solution

The fourth proportional to 8,422.34, 12,611.43 and 5,456.21 is: 8,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.34 : 12,611.43 = 5,456.21 : x
  2. Step 2: Convert to fraction form
    8,422.34/12,611.43 = 5,456.21/x
  3. Step 3: Cross multiply
    8,422.34x = 12,611.43 × 5,456.21
  4. Step 4: Simplify right side
    8,422.34x = 68,810,547.42
  5. Step 5: Solve for x
    x = 68,810,547.42/8,422.34
  6. Step 6: Final answer
    x = 8,170.01

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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.