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Finding the Fourth Proportional to 1,935.78, 2,671.02 and 1,346.10

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Solution

The fourth proportional to 1,935.78, 2,671.02 and 1,346.10 is: 1,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.78 : 2,671.02 = 1,346.10 : x
  2. Step 2: Convert to fraction form
    1,935.78/2,671.02 = 1,346.10/x
  3. Step 3: Cross multiply
    1,935.78x = 2,671.02 × 1,346.10
  4. Step 4: Simplify right side
    1,935.78x = 3,595,460.02
  5. Step 5: Solve for x
    x = 3,595,460.02/1,935.78
  6. Step 6: Final answer
    x = 1,857.37

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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.