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Finding the Fourth Proportional to 5,245, 7,866.06 and 1,959.40

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Solution

The fourth proportional to 5,245, 7,866.06 and 1,959.40 is: 2,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245 : 7,866.06 = 1,959.40 : x
  2. Step 2: Convert to fraction form
    5,245/7,866.06 = 1,959.40/x
  3. Step 3: Cross multiply
    5,245x = 7,866.06 × 1,959.40
  4. Step 4: Simplify right side
    5,245x = 15,412,757.96
  5. Step 5: Solve for x
    x = 15,412,757.96/5,245
  6. Step 6: Final answer
    x = 2,938.56

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Double scale
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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.