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Finding the Fourth Proportional to 5,445.34, 8,171.43 and 1,982.50

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Solution

The fourth proportional to 5,445.34, 8,171.43 and 1,982.50 is: 2,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.34 : 8,171.43 = 1,982.50 : x
  2. Step 2: Convert to fraction form
    5,445.34/8,171.43 = 1,982.50/x
  3. Step 3: Cross multiply
    5,445.34x = 8,171.43 × 1,982.50
  4. Step 4: Simplify right side
    5,445.34x = 16,199,859.98
  5. Step 5: Solve for x
    x = 16,199,859.98/5,445.34
  6. Step 6: Final answer
    x = 2,975.00

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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.