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Finding the Fourth Proportional to 6,589.50, 9,884.25 and 1,972.38

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Solution

The fourth proportional to 6,589.50, 9,884.25 and 1,972.38 is: 2,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.50 : 9,884.25 = 1,972.38 : x
  2. Step 2: Convert to fraction form
    6,589.50/9,884.25 = 1,972.38/x
  3. Step 3: Cross multiply
    6,589.50x = 9,884.25 × 1,972.38
  4. Step 4: Simplify right side
    6,589.50x = 19,495,497.02
  5. Step 5: Solve for x
    x = 19,495,497.02/6,589.50
  6. Step 6: Final answer
    x = 2,958.57

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Double scale
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Similar ratio
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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.