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Finding the Fourth Proportional to 3,893.15, 5,839.69 and 971.43

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Solution

The fourth proportional to 3,893.15, 5,839.69 and 971.43 is: 1,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.15 : 5,839.69 = 971.43 : x
  2. Step 2: Convert to fraction form
    3,893.15/5,839.69 = 971.43/x
  3. Step 3: Cross multiply
    3,893.15x = 5,839.69 × 971.43
  4. Step 4: Simplify right side
    3,893.15x = 5,672,847.63
  5. Step 5: Solve for x
    x = 5,672,847.63/3,893.15
  6. Step 6: Final answer
    x = 1,457.14

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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.