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Finding the Fourth Proportional to 5,312.70, 7,971.46 and 3,755.88

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Solution

The fourth proportional to 5,312.70, 7,971.46 and 3,755.88 is: 5,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.70 : 7,971.46 = 3,755.88 : x
  2. Step 2: Convert to fraction form
    5,312.70/7,971.46 = 3,755.88/x
  3. Step 3: Cross multiply
    5,312.70x = 7,971.46 × 3,755.88
  4. Step 4: Simplify right side
    5,312.70x = 29,939,847.18
  5. Step 5: Solve for x
    x = 29,939,847.18/5,312.70
  6. Step 6: Final answer
    x = 5,635.52

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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.