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Finding the Fourth Proportional to 8,920.72, 13,361.64 and 4,294

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Solution

The fourth proportional to 8,920.72, 13,361.64 and 4,294 is: 6,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.72 : 13,361.64 = 4,294 : x
  2. Step 2: Convert to fraction form
    8,920.72/13,361.64 = 4,294/x
  3. Step 3: Cross multiply
    8,920.72x = 13,361.64 × 4,294
  4. Step 4: Simplify right side
    8,920.72x = 57,374,882.16
  5. Step 5: Solve for x
    x = 57,374,882.16/8,920.72
  6. Step 6: Final answer
    x = 6,431.64

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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.