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Finding the Fourth Proportional to 5,285.40, 7,920.81 and 3,985.44

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Solution

The fourth proportional to 5,285.40, 7,920.81 and 3,985.44 is: 5,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.40 : 7,920.81 = 3,985.44 : x
  2. Step 2: Convert to fraction form
    5,285.40/7,920.81 = 3,985.44/x
  3. Step 3: Cross multiply
    5,285.40x = 7,920.81 × 3,985.44
  4. Step 4: Simplify right side
    5,285.40x = 31,567,913.01
  5. Step 5: Solve for x
    x = 31,567,913.01/5,285.40
  6. Step 6: Final answer
    x = 5,972.66

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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.