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Finding the Fourth Proportional to 5,312.89, 7,972.97 and 1,850.14

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Solution

The fourth proportional to 5,312.89, 7,972.97 and 1,850.14 is: 2,776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.89 : 7,972.97 = 1,850.14 : x
  2. Step 2: Convert to fraction form
    5,312.89/7,972.97 = 1,850.14/x
  3. Step 3: Cross multiply
    5,312.89x = 7,972.97 × 1,850.14
  4. Step 4: Simplify right side
    5,312.89x = 14,751,110.72
  5. Step 5: Solve for x
    x = 14,751,110.72/5,312.89
  6. Step 6: Final answer
    x = 2,776.48

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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.