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Finding the Fourth Proportional to 9,312.91, 13,983.04 and 5,817.81

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Solution

The fourth proportional to 9,312.91, 13,983.04 and 5,817.81 is: 8,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.91 : 13,983.04 = 5,817.81 : x
  2. Step 2: Convert to fraction form
    9,312.91/13,983.04 = 5,817.81/x
  3. Step 3: Cross multiply
    9,312.91x = 13,983.04 × 5,817.81
  4. Step 4: Simplify right side
    9,312.91x = 81,350,640.85
  5. Step 5: Solve for x
    x = 81,350,640.85/9,312.91
  6. Step 6: Final answer
    x = 8,735.25

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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.