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Finding the Fourth Proportional to 8,438.44, 12,656.22 and 2,281

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Solution

The fourth proportional to 8,438.44, 12,656.22 and 2,281 is: 3,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.44 : 12,656.22 = 2,281 : x
  2. Step 2: Convert to fraction form
    8,438.44/12,656.22 = 2,281/x
  3. Step 3: Cross multiply
    8,438.44x = 12,656.22 × 2,281
  4. Step 4: Simplify right side
    8,438.44x = 28,868,837.82
  5. Step 5: Solve for x
    x = 28,868,837.82/8,438.44
  6. Step 6: Final answer
    x = 3,421.11

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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.