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Finding the Fourth Proportional to 3,893.66, 5,840.40 and 971.96

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Solution

The fourth proportional to 3,893.66, 5,840.40 and 971.96 is: 1,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.66 : 5,840.40 = 971.96 : x
  2. Step 2: Convert to fraction form
    3,893.66/5,840.40 = 971.96/x
  3. Step 3: Cross multiply
    3,893.66x = 5,840.40 × 971.96
  4. Step 4: Simplify right side
    3,893.66x = 5,676,635.18
  5. Step 5: Solve for x
    x = 5,676,635.18/3,893.66
  6. Step 6: Final answer
    x = 1,457.92

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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.