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Finding the Fourth Proportional to 5,259.72, 7,889.28 and 1,972.54

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Solution

The fourth proportional to 5,259.72, 7,889.28 and 1,972.54 is: 2,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.72 : 7,889.28 = 1,972.54 : x
  2. Step 2: Convert to fraction form
    5,259.72/7,889.28 = 1,972.54/x
  3. Step 3: Cross multiply
    5,259.72x = 7,889.28 × 1,972.54
  4. Step 4: Simplify right side
    5,259.72x = 15,561,922.84
  5. Step 5: Solve for x
    x = 15,561,922.84/5,259.72
  6. Step 6: Final answer
    x = 2,958.70

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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.