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Finding the Fourth Proportional to 3,935.65, 5,903.47 and 2,699.31

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Solution

The fourth proportional to 3,935.65, 5,903.47 and 2,699.31 is: 4,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.65 : 5,903.47 = 2,699.31 : x
  2. Step 2: Convert to fraction form
    3,935.65/5,903.47 = 2,699.31/x
  3. Step 3: Cross multiply
    3,935.65x = 5,903.47 × 2,699.31
  4. Step 4: Simplify right side
    3,935.65x = 15,935,282.11
  5. Step 5: Solve for x
    x = 15,935,282.11/3,935.65
  6. Step 6: Final answer
    x = 4,048.96

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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.