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Finding the Fourth Proportional to 5,489.51, 8,233.79 and 1,540.45

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Solution

The fourth proportional to 5,489.51, 8,233.79 and 1,540.45 is: 2,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.51 : 8,233.79 = 1,540.45 : x
  2. Step 2: Convert to fraction form
    5,489.51/8,233.79 = 1,540.45/x
  3. Step 3: Cross multiply
    5,489.51x = 8,233.79 × 1,540.45
  4. Step 4: Simplify right side
    5,489.51x = 12,683,744.40
  5. Step 5: Solve for x
    x = 12,683,744.40/5,489.51
  6. Step 6: Final answer
    x = 2,310.54

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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.