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Finding the Fourth Proportional to 3,528.64, 4,869.81 and 1,956.70

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Solution

The fourth proportional to 3,528.64, 4,869.81 and 1,956.70 is: 2,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.64 : 4,869.81 = 1,956.70 : x
  2. Step 2: Convert to fraction form
    3,528.64/4,869.81 = 1,956.70/x
  3. Step 3: Cross multiply
    3,528.64x = 4,869.81 × 1,956.70
  4. Step 4: Simplify right side
    3,528.64x = 9,528,757.23
  5. Step 5: Solve for x
    x = 9,528,757.23/3,528.64
  6. Step 6: Final answer
    x = 2,700.41

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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.