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Finding the Fourth Proportional to 8,465.31, 12,707.03 and 7,164.96

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Solution

The fourth proportional to 8,465.31, 12,707.03 and 7,164.96 is: 10,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.31 : 12,707.03 = 7,164.96 : x
  2. Step 2: Convert to fraction form
    8,465.31/12,707.03 = 7,164.96/x
  3. Step 3: Cross multiply
    8,465.31x = 12,707.03 × 7,164.96
  4. Step 4: Simplify right side
    8,465.31x = 91,045,361.67
  5. Step 5: Solve for x
    x = 91,045,361.67/8,465.31
  6. Step 6: Final answer
    x = 10,755.11

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1.5x scale

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.