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Finding the Fourth Proportional to 8,971.06, 12,380.46 and 7,476.46

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Solution

The fourth proportional to 8,971.06, 12,380.46 and 7,476.46 is: 10,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.06 : 12,380.46 = 7,476.46 : x
  2. Step 2: Convert to fraction form
    8,971.06/12,380.46 = 7,476.46/x
  3. Step 3: Cross multiply
    8,971.06x = 12,380.46 × 7,476.46
  4. Step 4: Simplify right side
    8,971.06x = 92,562,013.97
  5. Step 5: Solve for x
    x = 92,562,013.97/8,971.06
  6. Step 6: Final answer
    x = 10,317.85

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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.