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Finding the Fourth Proportional to 2,354.76, 3,533.40 and 1,382.76

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Solution

The fourth proportional to 2,354.76, 3,533.40 and 1,382.76 is: 2,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.76 : 3,533.40 = 1,382.76 : x
  2. Step 2: Convert to fraction form
    2,354.76/3,533.40 = 1,382.76/x
  3. Step 3: Cross multiply
    2,354.76x = 3,533.40 × 1,382.76
  4. Step 4: Simplify right side
    2,354.76x = 4,885,844.18
  5. Step 5: Solve for x
    x = 4,885,844.18/2,354.76
  6. Step 6: Final answer
    x = 2,074.88

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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.