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Finding the Fourth Proportional to 3,956.70, 5,460.08 and 2,164.10

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Solution

The fourth proportional to 3,956.70, 5,460.08 and 2,164.10 is: 2,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.70 : 5,460.08 = 2,164.10 : x
  2. Step 2: Convert to fraction form
    3,956.70/5,460.08 = 2,164.10/x
  3. Step 3: Cross multiply
    3,956.70x = 5,460.08 × 2,164.10
  4. Step 4: Simplify right side
    3,956.70x = 11,816,159.13
  5. Step 5: Solve for x
    x = 11,816,159.13/3,956.70
  6. Step 6: Final answer
    x = 2,986.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.