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Finding the Fourth Proportional to 8,894.28, 12,265.26 and 6,904.14

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Solution

The fourth proportional to 8,894.28, 12,265.26 and 6,904.14 is: 9,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.28 : 12,265.26 = 6,904.14 : x
  2. Step 2: Convert to fraction form
    8,894.28/12,265.26 = 6,904.14/x
  3. Step 3: Cross multiply
    8,894.28x = 12,265.26 × 6,904.14
  4. Step 4: Simplify right side
    8,894.28x = 84,681,072.18
  5. Step 5: Solve for x
    x = 84,681,072.18/8,894.28
  6. Step 6: Final answer
    x = 9,520.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.