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Finding the Fourth Proportional to 3,893.50, 5,840.26 and 971.80

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Solution

The fourth proportional to 3,893.50, 5,840.26 and 971.80 is: 1,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.50 : 5,840.26 = 971.80 : x
  2. Step 2: Convert to fraction form
    3,893.50/5,840.26 = 971.80/x
  3. Step 3: Cross multiply
    3,893.50x = 5,840.26 × 971.80
  4. Step 4: Simplify right side
    3,893.50x = 5,675,564.67
  5. Step 5: Solve for x
    x = 5,675,564.67/3,893.50
  6. Step 6: Final answer
    x = 1,457.70

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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.