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Finding the Fourth Proportional to 3,959.16, 5,935.58 and 1,878.12

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Solution

The fourth proportional to 3,959.16, 5,935.58 and 1,878.12 is: 2,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.16 : 5,935.58 = 1,878.12 : x
  2. Step 2: Convert to fraction form
    3,959.16/5,935.58 = 1,878.12/x
  3. Step 3: Cross multiply
    3,959.16x = 5,935.58 × 1,878.12
  4. Step 4: Simplify right side
    3,959.16x = 11,147,731.51
  5. Step 5: Solve for x
    x = 11,147,731.51/3,959.16
  6. Step 6: Final answer
    x = 2,815.68

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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.