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Finding the Fourth Proportional to 7,164.56, 10,745.92 and 1,970.84

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Solution

The fourth proportional to 7,164.56, 10,745.92 and 1,970.84 is: 2,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.56 : 10,745.92 = 1,970.84 : x
  2. Step 2: Convert to fraction form
    7,164.56/10,745.92 = 1,970.84/x
  3. Step 3: Cross multiply
    7,164.56x = 10,745.92 × 1,970.84
  4. Step 4: Simplify right side
    7,164.56x = 21,178,488.97
  5. Step 5: Solve for x
    x = 21,178,488.97/7,164.56
  6. Step 6: Final answer
    x = 2,956.01

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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.