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Finding the Fourth Proportional to 8,312.34, 11,455.20 and 5,950.38

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Solution

The fourth proportional to 8,312.34, 11,455.20 and 5,950.38 is: 8,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.34 : 11,455.20 = 5,950.38 : x
  2. Step 2: Convert to fraction form
    8,312.34/11,455.20 = 5,950.38/x
  3. Step 3: Cross multiply
    8,312.34x = 11,455.20 × 5,950.38
  4. Step 4: Simplify right side
    8,312.34x = 68,162,792.98
  5. Step 5: Solve for x
    x = 68,162,792.98/8,312.34
  6. Step 6: Final answer
    x = 8,200.19

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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.