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Finding the Fourth Proportional to 9,292.15, 13,915.50 and 8,392.57

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Solution

The fourth proportional to 9,292.15, 13,915.50 and 8,392.57 is: 12,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.15 : 13,915.50 = 8,392.57 : x
  2. Step 2: Convert to fraction form
    9,292.15/13,915.50 = 8,392.57/x
  3. Step 3: Cross multiply
    9,292.15x = 13,915.50 × 8,392.57
  4. Step 4: Simplify right side
    9,292.15x = 116,786,807.84
  5. Step 5: Solve for x
    x = 116,786,807.84/9,292.15
  6. Step 6: Final answer
    x = 12,568.33

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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.