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Finding the Fourth Proportional to 5,237.94, 7,856.80 and 1,540.08

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Solution

The fourth proportional to 5,237.94, 7,856.80 and 1,540.08 is: 2,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.94 : 7,856.80 = 1,540.08 : x
  2. Step 2: Convert to fraction form
    5,237.94/7,856.80 = 1,540.08/x
  3. Step 3: Cross multiply
    5,237.94x = 7,856.80 × 1,540.08
  4. Step 4: Simplify right side
    5,237.94x = 12,100,100.54
  5. Step 5: Solve for x
    x = 12,100,100.54/5,237.94
  6. Step 6: Final answer
    x = 2,310.09

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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.