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Finding the Fourth Proportional to 1,957.64, 2,935.02 and 1,380.20

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Solution

The fourth proportional to 1,957.64, 2,935.02 and 1,380.20 is: 2,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.64 : 2,935.02 = 1,380.20 : x
  2. Step 2: Convert to fraction form
    1,957.64/2,935.02 = 1,380.20/x
  3. Step 3: Cross multiply
    1,957.64x = 2,935.02 × 1,380.20
  4. Step 4: Simplify right side
    1,957.64x = 4,050,914.60
  5. Step 5: Solve for x
    x = 4,050,914.60/1,957.64
  6. Step 6: Final answer
    x = 2,069.28

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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.