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Finding the Fourth Proportional to 8,687.93, 11,983.14 and 6,131.57

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Solution

The fourth proportional to 8,687.93, 11,983.14 and 6,131.57 is: 8,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.93 : 11,983.14 = 6,131.57 : x
  2. Step 2: Convert to fraction form
    8,687.93/11,983.14 = 6,131.57/x
  3. Step 3: Cross multiply
    8,687.93x = 11,983.14 × 6,131.57
  4. Step 4: Simplify right side
    8,687.93x = 73,475,401.81
  5. Step 5: Solve for x
    x = 73,475,401.81/8,687.93
  6. Step 6: Final answer
    x = 8,457.19

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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.