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Finding the Fourth Proportional to 5,237.60, 7,853.11 and 1,947.98

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Solution

The fourth proportional to 5,237.60, 7,853.11 and 1,947.98 is: 2,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.60 : 7,853.11 = 1,947.98 : x
  2. Step 2: Convert to fraction form
    5,237.60/7,853.11 = 1,947.98/x
  3. Step 3: Cross multiply
    5,237.60x = 7,853.11 × 1,947.98
  4. Step 4: Simplify right side
    5,237.60x = 15,297,715.98
  5. Step 5: Solve for x
    x = 15,297,715.98/5,237.60
  6. Step 6: Final answer
    x = 2,920.75

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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.